Finding the Third Proportional to 39,892.50 and 84,402

Step by Step Solution

1. Step 1: Write the proportion equation
   39,892.50 : 84,402 = 84,402 : x
2. Step 2: Convert to fraction form
   39,892.50/84,402 = 84,402/x
3. Step 3: Cross multiply
   39,892.50x = 84,402 × 84,402
4. Step 4: Simplify right side
   39,892.50x = 7,123,697,604
5. Step 5: Solve for x
   x = 7,123,697,604/39,892.50
6. Step 6: Final answer
   x = 178,572.35