Finding the Third Proportional to 40,402 and 82,810

Step by Step Solution

1. Step 1: Write the proportion equation
   40,402 : 82,810 = 82,810 : x
2. Step 2: Convert to fraction form
   40,402/82,810 = 82,810/x
3. Step 3: Cross multiply
   40,402x = 82,810 × 82,810
4. Step 4: Simplify right side
   40,402x = 6,857,496,100
5. Step 5: Solve for x
   x = 6,857,496,100/40,402
6. Step 6: Final answer
   x = 169,731.60