Finding the Third Proportional to 9,662 and 13,055

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662 : 13,055 = 13,055 : x
2. Step 2: Convert to fraction form
   9,662/13,055 = 13,055/x
3. Step 3: Cross multiply
   9,662x = 13,055 × 13,055
4. Step 4: Simplify right side
   9,662x = 170,433,025
5. Step 5: Solve for x
   x = 170,433,025/9,662
6. Step 6: Final answer
   x = 17,639.52