Finding the Third Proportional to 39,127.50 and 83,787.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,127.50 : 83,787.75 = 83,787.75 : x
2. Step 2: Convert to fraction form
   39,127.50/83,787.75 = 83,787.75/x
3. Step 3: Cross multiply
   39,127.50x = 83,787.75 × 83,787.75
4. Step 4: Simplify right side
   39,127.50x = 7,020,387,050.06
5. Step 5: Solve for x
   x = 7,020,387,050.06/39,127.50
6. Step 6: Final answer
   x = 179,423.35