Finding the Third Proportional to 20,165 and 42,418

Step by Step Solution

1. Step 1: Write the proportion equation
   20,165 : 42,418 = 42,418 : x
2. Step 2: Convert to fraction form
   20,165/42,418 = 42,418/x
3. Step 3: Cross multiply
   20,165x = 42,418 × 42,418
4. Step 4: Simplify right side
   20,165x = 1,799,286,724
5. Step 5: Solve for x
   x = 1,799,286,724/20,165
6. Step 6: Final answer
   x = 89,228.20