The previous answer by pohnpei is quite accurate: Having read and taught the book many times, I already know what is going to happen. For someone who has not read the completion of the novel, it might be a good speculatory writing assignment for class. If you want to know what happens to Ponyboy beyond the finale of The Outsiders, you might want to continue your reading with S. E. Hinton's followup, That Was Then, This is Now. Ponyboy returns in a small role--a bit older and a bit more wiser in the ways of women.
The problem with asking this question on here is that all of us who are going to answer you have already read the book and read it many times. So we know what's going to happen. That makes it really hard for us to make honest predictions.
I would predict at the end of Chapter 10 that Pony is going to lose it in some way or other. He is physically beat up from the rumble and from saving the kids before that. And he is emotionally beat up from Johnny and Dally dying. So it seems likely that he is going to have some sort of serious problem.
I have also read and taught this book to my students. We've discussed what might be outcomes for the characters after the rumble and after Johnny's death. When I first read the book many years ago, I would of predicted more legal consequences for Ponyboy. I would of also expected more consequences as a result of the rumble between the two gangs.
I would of expected Ponyboy to lose it after all of the things he'd been through at such a young age. The socs tried to drown him. He witnessed people getting killed. He was severely beaten. He rescued several children from a burning building. He was constantly fighting with his oldest brother. It just kept on going. In the end, though, he did have support from his siblings and friends. They were a tight knit group.
As for Dally, I know he was more of a loose cannon, however, I would of not predicted him getting shot by the police.