Finding the Third Proportional to 40,402 and 82,762

Step by Step Solution

1. Step 1: Write the proportion equation
   40,402 : 82,762 = 82,762 : x
2. Step 2: Convert to fraction form
   40,402/82,762 = 82,762/x
3. Step 3: Cross multiply
   40,402x = 82,762 × 82,762
4. Step 4: Simplify right side
   40,402x = 6,849,548,644
5. Step 5: Solve for x
   x = 6,849,548,644/40,402
6. Step 6: Final answer
   x = 169,534.89