Finding the Third Proportional to 38,530.69 and 81,982.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,530.69 : 81,982.13 = 81,982.13 : x
2. Step 2: Convert to fraction form
   38,530.69/81,982.13 = 81,982.13/x
3. Step 3: Cross multiply
   38,530.69x = 81,982.13 × 81,982.13
4. Step 4: Simplify right side
   38,530.69x = 6,721,068,819.52
5. Step 5: Solve for x
   x = 6,721,068,819.52/38,530.69
6. Step 6: Final answer
   x = 174,434.18