Step 1: Arrange the numbers in ascending order:
\[
17, 18, 24, 25, 35, 36, 46
\]
Step 2: Find the middle number (median) in the sorted list.
Since there are 7 numbers (odd count), median is the \(\frac{7+1}{2} = 4^\text{th}\) number.
Step 3: Identify the 4th number:
The 4th number in the list is 25.
Hence, the median is \(\boxed{25}\).