To solve the proportion
\[ \frac{15}{2} = \frac{y}{75} \]
we can use cross-multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction.
Cross-multiplying gives us:
\[ 15 \cdot 75 = 2 \cdot y \]
Calculating \(15 \cdot 75\):
\[ 15 \cdot 75 = 1125 \]
So we have:
\[ 1125 = 2y \]
Next, to solve for \(y\), we divide both sides by 2:
\[ y = \frac{1125}{2} = 562.5 \]
Therefore, the solution is:
\[ \boxed{562.5} \]
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