Finding the Third Proportional to 38,308.50 and 81,177.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,308.50 : 81,177.75 = 81,177.75 : x
2. Step 2: Convert to fraction form
   38,308.50/81,177.75 = 81,177.75/x
3. Step 3: Cross multiply
   38,308.50x = 81,177.75 × 81,177.75
4. Step 4: Simplify right side
   38,308.50x = 6,589,827,095.06
5. Step 5: Solve for x
   x = 6,589,827,095.06/38,308.50
6. Step 6: Final answer
   x = 172,019.97