As mentioned above you just need to replace the lighter socket. Very quick, simple DIY.
Here's a link to everything you ever wanted to know about 986 cigarette lighter plugs, and DIY instructions:
CB-Racing, 986 Cigarette Socket Hack
It's cheaper to buy based on the part numbers than to buy the kit (Suncoast rarely has the best prices):
Socket PN: 996.652.101.10.A05
Retaining Ring PN: 996.652.102.10