What was found
AT CRUISE FL 36.0 NR 3 ENGINE SHORT CIRCUIT LIGHT BEGAN FLASHING. FIRE WARNING WOULD NOT TEST, ENGINE SHUTDOWN PER COM PROCEDURE. THE CREW ELECTED TO RETURN THE AIRCRAFT TO TOL AND LANDED WITHOUT INCIDENT. MAINTENANCE REMOVED CONNECTOR FROM FORWARD SIDE OF RIGHT HAND FAN FIRE LOOP, SHORT LIGHT REMAINED ILLUMINATED. REMOVED CONNECTOR FROM AFT SIDE OF RIGHT HAND FAN LOOP AND SHORT LIGHT EXTINGUISHED. REMOVED AND REPLACED RIGHT HAND FAN FIRE ELEMENT AND AFT CONNECTOR. NR 3 ENGINE FIRE WARNING TEST AND SHORT CIRCUIT LIGHT OPS CHECK GOOD. RAN NR 3 ENGINE, SHORT LIGHT DID NOT ILLUMINATE AND FIRE TEST GOOD. WORK WAS DONE PER ALL APPLICABLE MANUALS AND AIRCRAFT WAS RETURNED TO SERVICE.