Some of the values produced by two functions, $f(x)$ and $g(x)$, are shown below. Find $f(g(3))$
\begin{tabular}{c||c|c|c|c|c}
$x$ & 1 & 3 & 5 & 7 & 9 \\ \hline\hline
$f(x)$ & 3 & 7 & 9 & 13 & 17 \\ \hline
$g(x)$ & 54 & 9 & 25 & 19 & 44 
\end{tabular}

$\textbf{(A) }3\qquad\textbf{(B) }7\qquad\textbf{(C) }8\qquad\textbf{(D) }13\qquad\textbf{(E) }17$
1. First, we need to find the value of \( g(3) \) using the given table. According to the table:
   \[
   \begin{array}{c||c|c|c|c|c}
   x & 1 & 3 & 5 & 7 & 9 \\
   \hline\hline
   g(x) & 54 & 9 & 25 & 19 & 44 \\
   \end{array}
   \]
   From the table, we see that \( g(3) = 9 \).

2. Next, we need to find \( f(g(3)) \). Since we have already determined that \( g(3) = 9 \), we need to find \( f(9) \) using the table for \( f(x) \):
   \[
   \begin{array}{c||c|c|c|c|c}
   x & 1 & 3 & 5 & 7 & 9 \\
   \hline\hline
   f(x) & 3 & 7 & 9 & 13 & 17 \\
   \end{array}
   \]
   From the table, we see that \( f(9) = 17 \).

3. Therefore, \( f(g(3)) = f(9) = 17 \).

The final answer is \(\boxed{17}\).