(Check out the slideshow below to see pictures of each step.)
STEP 2: BALANCE
Shift all of your weight onto your uphill ski so your downhill ski is free to move. Continue to look down the fall line. Good balance is crucial here, so practice before you get into a sticky situation. It's time to commit. In one fluid motion, kick your downhill ski as high as you can until the tail clears the ground.
STEP 3: THINK FINESSE
Now the crux: Bring the tail of the raised (downhill) ski around and let the tip fall in the opposite direction so that you're standing with your tips-and knees-facing away from each other. Now you're fully vulnerable. Hesitate or sit back into the hill and you're toast.
STEP 4: FOLLOW YOUR TIP
As soon as your downhill ski swings around, follow it with your body and your uphill ski. Let your hips and shoulders come around to face the other direction. This should be a relief after all that tweaking and twisting. Once your weight is balanced, you're good to go.