Finding the Third Proportional to 6,570 and 10,402

Step by Step Solution

1. Step 1: Write the proportion equation
   6,570 : 10,402 = 10,402 : x
2. Step 2: Convert to fraction form
   6,570/10,402 = 10,402/x
3. Step 3: Cross multiply
   6,570x = 10,402 × 10,402
4. Step 4: Simplify right side
   6,570x = 108,201,604
5. Step 5: Solve for x
   x = 108,201,604/6,570
6. Step 6: Final answer
   x = 16,469.04