Consecutive even integers are 2 units apart.
Let the smallest integer be x.
The next greater one is x + 2.
The greatest one is x + 4.
x + x + 2 + x + 4 = 132
3x + 6 = 132
3x = 126
x = 42
42 is the smallest one.
x + 4 = 46
Answer: The greatest of the three integers is 46.