Finding the Third Proportional to 10,982 and 24,419

Step by Step Solution

1. Step 1: Write the proportion equation
   10,982 : 24,419 = 24,419 : x
2. Step 2: Convert to fraction form
   10,982/24,419 = 24,419/x
3. Step 3: Cross multiply
   10,982x = 24,419 × 24,419
4. Step 4: Simplify right side
   10,982x = 596,287,561
5. Step 5: Solve for x
   x = 596,287,561/10,982
6. Step 6: Final answer
   x = 54,296.81