I Injured My Right Arm Jet Skiing And There Is A Burning And Constant Pain Starting In The Middle Of My Elbow And Running Through My Arm. This Has Been Going On For 3 Weeks Now. What Could It Be?

Is there swelling of your arm? If yes then this can be fracture. If no swelling only pain and inflammation then it can be damage to arm muscle. You can take pain killers with complete rest but it will be good to visit a doctor with x-ray of your right arm to find out the problem.

Sounds like it could be a pulled ligament or tendon.  Usually the sign of burning and no strength is the sign of a pulled ligament or tendon.  I would go see and Orthopedic Dr. As soon as possible, or go to the Emergency Room for evaluation.  Good Luck