Finding the Third Proportional to 9,402 and 12,655

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402 : 12,655 = 12,655 : x
2. Step 2: Convert to fraction form
   9,402/12,655 = 12,655/x
3. Step 3: Cross multiply
   9,402x = 12,655 × 12,655
4. Step 4: Simplify right side
   9,402x = 160,149,025
5. Step 5: Solve for x
   x = 160,149,025/9,402
6. Step 6: Final answer
   x = 17,033.51