Finding the Third Proportional to 39,753 and 82,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,753 : 82,732.50 = 82,732.50 : x
2. Step 2: Convert to fraction form
   39,753/82,732.50 = 82,732.50/x
3. Step 3: Cross multiply
   39,753x = 82,732.50 × 82,732.50
4. Step 4: Simplify right side
   39,753x = 6,844,666,556.25
5. Step 5: Solve for x
   x = 6,844,666,556.25/39,753
6. Step 6: Final answer
   x = 172,179.87