To solve the proportion \( \frac{22}{32} = \frac{a}{64} \), you can use cross-multiplication:
\[ 22 \cdot 64 = 32 \cdot a \]
Now, calculate \( 22 \cdot 64 \):
\[ 22 \cdot 64 = 1408 \]
So, we have:
\[ 1408 = 32 \cdot a \]
Next, solve for \( a \):
\[ a = \frac{1408}{32} \]
Now, calculate \( \frac{1408}{32} \):
\[ a = 44 \]
Thus, the solution is:
\[ a = 44 \]