Finding the Third Proportional to 39,747.38 and 84,142.13

Step by Step Solution

1. Step 1: Write the proportion equation
   39,747.38 : 84,142.13 = 84,142.13 : x
2. Step 2: Convert to fraction form
   39,747.38/84,142.13 = 84,142.13/x
3. Step 3: Cross multiply
   39,747.38x = 84,142.13 × 84,142.13
4. Step 4: Simplify right side
   39,747.38x = 7,079,897,199.52
5. Step 5: Solve for x
   x = 7,079,897,199.52/39,747.38
6. Step 6: Final answer
   x = 178,122.38