Finding the Third Proportional to 38,479.50 and 82,716.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,479.50 : 82,716.75 = 82,716.75 : x
2. Step 2: Convert to fraction form
   38,479.50/82,716.75 = 82,716.75/x
3. Step 3: Cross multiply
   38,479.50x = 82,716.75 × 82,716.75
4. Step 4: Simplify right side
   38,479.50x = 6,842,060,730.56
5. Step 5: Solve for x
   x = 6,842,060,730.56/38,479.50
6. Step 6: Final answer
   x = 177,810.54