Have a friend who was a stripper in SF, she had customers that would pay her just to sit and talk with them. I interviewed an escort once and she had similar stories.
Additionally, this is a huge part of hospice care. Incredible article recently[0] in the New Yorker about this.
[0]: http://www.newyorker.com/magazine/2016/07/11/the-work-of-a-h...
So yea, old people cannot be forced to hang out with each other just because they are old.
I can only think you are either trolling or have had a significantly different life to myself.
Plenty of things allow people (without children) to relate: sports, travel, religion, food, literature, movies, the weather, politics, technological events (man on moon), cultural events (election of the first Black president of America), pets etc. etc.
Old people don't need to be forced. 100s of millions of old people who enjoy each other company every single day.
A therapist, escort, paid companion, etc is ultimately there to serve.
With boughten friendship at your side
Than none at all. Provide, provide!"
Oh, should add, not sure if anyone is religious or not but priests and monks are generally good listeners, and free. Sometimes short on life experience though.