Explanation:

- The total sum of 18 numbers with an average of 65 is \( 18 \times 65 = 1170 \).

- The sum of the first ten numbers, with an average of 72, is \( 10 \times 72 = 720 \).

- The sum of the last nine numbers, with an average of 58, is \( 9 \times 58 = 522 \).

- We realize that the 10th number is counted twice in this arrangement of first 10 and last 9 numbers. So, calculate as follows:

$$

720 + 522 - 1170 = 72 \\

\text{Hence, the 10th number is 72.}

$$

- If the 10th number is excluded, the calculation for the average becomes:

$$

\left(\frac{1170 - 72}{17}\right) = 64.6

$$

- Correct Answer: Option 1 - 64.6