Finding the Third Proportional to 8,770 and 10,402

Step by Step Solution

1. Step 1: Write the proportion equation
   8,770 : 10,402 = 10,402 : x
2. Step 2: Convert to fraction form
   8,770/10,402 = 10,402/x
3. Step 3: Cross multiply
   8,770x = 10,402 × 10,402
4. Step 4: Simplify right side
   8,770x = 108,201,604
5. Step 5: Solve for x
   x = 108,201,604/8,770
6. Step 6: Final answer
   x = 12,337.70