Finding the Third Proportional to 40,462 and 82,530

Step by Step Solution

1. Step 1: Write the proportion equation
   40,462 : 82,530 = 82,530 : x
2. Step 2: Convert to fraction form
   40,462/82,530 = 82,530/x
3. Step 3: Cross multiply
   40,462x = 82,530 × 82,530
4. Step 4: Simplify right side
   40,462x = 6,811,200,900
5. Step 5: Solve for x
   x = 6,811,200,900/40,462
6. Step 6: Final answer
   x = 168,335.74