What was found
ABOUT 45 MINUTES INTO THE FLIGHT, CLIMBING THRU FL 360, CREW HEARD A LOUD "BANG", FELT A VIBRATION, ITT BEGAN AN IMMEDIATE CLIMB, FOLLOWED BY THE "FIRE" LIGHT AND SMOKE IN THE CABIN. CREW BROUGHT THE THROTTLE TO IDLE, SHUT THE ENGINE DOWN VIA THE FUEL CUTOFF SWITCH, DECLARED AN EMERGENCY AND WAS VECTORED BY ATC TO THE NEAREST SUITABLE AIRPORT.