Finding the Third Proportional to 39,009.09 and 81,982.13

Step by Step Solution

1. Step 1: Write the proportion equation
   39,009.09 : 81,982.13 = 81,982.13 : x
2. Step 2: Convert to fraction form
   39,009.09/81,982.13 = 81,982.13/x
3. Step 3: Cross multiply
   39,009.09x = 81,982.13 × 81,982.13
4. Step 4: Simplify right side
   39,009.09x = 6,721,068,819.52
5. Step 5: Solve for x
   x = 6,721,068,819.52/39,009.09
6. Step 6: Final answer
   x = 172,294.92