Finding the Third Proportional to 17,874 and 40,419

Step by Step Solution

1. Step 1: Write the proportion equation
   17,874 : 40,419 = 40,419 : x
2. Step 2: Convert to fraction form
   17,874/40,419 = 40,419/x
3. Step 3: Cross multiply
   17,874x = 40,419 × 40,419
4. Step 4: Simplify right side
   17,874x = 1,633,695,561
5. Step 5: Solve for x
   x = 1,633,695,561/17,874
6. Step 6: Final answer
   x = 91,400.67