To solve for \( C \) in the equation \( 69 = C^3 \), we need to take the cube root of both sides.
\[ C = \sqrt[3]{69} \]
Since \( 69 \) is not a perfect cube, we express \( C \) in simplest radical form as:
\[ C = \sqrt[3]{69} \]
Thus, the solution is:
\[ C = \sqrt[3]{69} \]