Finding the Third Proportional to 38,887.59 and 83,686.92

Step by Step Solution

1. Step 1: Write the proportion equation
   38,887.59 : 83,686.92 = 83,686.92 : x
2. Step 2: Convert to fraction form
   38,887.59/83,686.92 = 83,686.92/x
3. Step 3: Cross multiply
   38,887.59x = 83,686.92 × 83,686.92
4. Step 4: Simplify right side
   38,887.59x = 7,003,500,892.91
5. Step 5: Solve for x
   x = 7,003,500,892.91/38,887.59
6. Step 6: Final answer
   x = 180,096.02