Solving proportions using cross products:

32/12 = 64/k

To solve this proportion using cross products, we start by cross multiplying:

32 * k = 12 * 64

Now we can simplify:

32k = 768

Next, divide both sides of the equation by 32 to solve for k:

k = 768/32

Simplifying further:

k = 24

Therefore, the solution to the proportion is k = 24.