Finding the Third Proportional to 40,396 and 82,751

Step by Step Solution

1. Step 1: Write the proportion equation
   40,396 : 82,751 = 82,751 : x
2. Step 2: Convert to fraction form
   40,396/82,751 = 82,751/x
3. Step 3: Cross multiply
   40,396x = 82,751 × 82,751
4. Step 4: Simplify right side
   40,396x = 6,847,728,001
5. Step 5: Solve for x
   x = 6,847,728,001/40,396
6. Step 6: Final answer
   x = 169,515.00