Finding the Third Proportional to 38,901.50 and 85,128.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,901.50 : 85,128.75 = 85,128.75 : x
2. Step 2: Convert to fraction form
   38,901.50/85,128.75 = 85,128.75/x
3. Step 3: Cross multiply
   38,901.50x = 85,128.75 × 85,128.75
4. Step 4: Simplify right side
   38,901.50x = 7,246,904,076.56
5. Step 5: Solve for x
   x = 7,246,904,076.56/38,901.50
6. Step 6: Final answer
   x = 186,288.55