The intersection of the functions \( f(x) \) and \( g(x) \) at the point \( (21, 4.5) \) indicates that at \( x = 21 \), both functions equal \( 4.5 \). Therefore, the solution to the equation \( f(x) = g(x) \) is:
\[ x = 21 \]
Thus, the solution to the equation \( f(x) = g(x) \) is \( x = 21 \).