Finding the Third Proportional to 38,490 and 82,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,490 : 82,711.50 = 82,711.50 : x
2. Step 2: Convert to fraction form
   38,490/82,711.50 = 82,711.50/x
3. Step 3: Cross multiply
   38,490x = 82,711.50 × 82,711.50
4. Step 4: Simplify right side
   38,490x = 6,841,192,232.25
5. Step 5: Solve for x
   x = 6,841,192,232.25/38,490
6. Step 6: Final answer
   x = 177,739.47