Final answer:
When a choking person is coughing forcefully, you should encourage them to continue coughing. If that doesn't work, you should perform the Heimlich maneuver.
Step-by-step explanation:
When a choking person is coughing forcefully, you should first encourage the patient to continue coughing. Coughing is the body's natural reflex to expel the obstructing object. If the coughing does not dislodge the object, you should give abdominal thrusts, also known as the Heimlich maneuver. This involves standing behind the choking person and applying inward and upward pressure on their abdomen to force air out and dislodge the object.