"Won't you stop in and have tea with me?" she asked suddenly.

He thought rapidly. "I'm sorry. I'm having tea with some New York people at the Ritz. Awfully sorry. People I shouldn't like to offend or I'd send an excuse. You understand, I hope."

Her jaws were set. He shot a furtive glance at the thickly plastered face and inwardly pitied himself while outwardly rejoicing.

"Some of the people who entertain baboons at dinner, I suppose," she said through compressed lips.

He smiled. "And poodles," he supplemented with perfect amiability and more truth than he knew. She sniffed. "I'm afraid you don't approve of our little larks. We've got to have something new once in a while or we'd die of ennui."

"Umph!" was her simple response, but he noted the pensive, wistful look in her eyes.

She set him down at his hotel. "Can't you dine with me at half past eight? I sha'n't ask any one else. I'm terribly blue today. You WILL come and cheer me up, won't you?"

"With pleasure," he said, bowing very low over her gloved hand, which was amazingly lumpy with invisible rubies and diamonds. "So good of you."

While dressing for dinner he repeated the oft-repeated process of reducing the Grand Duchess to a tangible result. Supposing she had as many as fifteen years longer to live, and supposing her income to be only $400,000 a year, there was still compensation in the calculation that he would be but forty-five and that no matter how extravagant she might become there was small likelihood of the principal ever being disturbed. (On one point he meant to be very rigid: she should be kept out of Wall Street.) Furthermore, allowing for the shares that would go to her three grown daughters and their husbands (if they had them), he could be reasonably certain of at least three million dollars. Fifteen into three million goes two hundred thousand times, according to long division. Two hundred thousand dollars a year is what it came to in round numbers. He figured it as a rather handsome salary, more than he could earn at anything else. Of course, if it should happen to be but twelve years, the remuneration, so to speak, would be $250,000; eleven years $272,727 and a fraction; ten years $300,000; nine—well, he even figured it down to the unlikely term of two years. And all this without taking into consideration the certainty that her fortune would increase rather than diminish with the years to come.

On another point he meant to be firm, even adamant. If they were to be married at all, it would have to be without the least delay, In fact, he would advise making rather a secret of it until after the ceremony. Two weeks at the outside for the engagement period, he should say. Something told him that if her daughters got wind of the affair they would have the Grand Duchess locked up in a sanitarium for the remainder of her days. Besides, the suspense would be terrific.