Finding the Third Proportional to 10,830 and 24,461

Step by Step Solution

1. Step 1: Write the proportion equation
   10,830 : 24,461 = 24,461 : x
2. Step 2: Convert to fraction form
   10,830/24,461 = 24,461/x
3. Step 3: Cross multiply
   10,830x = 24,461 × 24,461
4. Step 4: Simplify right side
   10,830x = 598,340,521
5. Step 5: Solve for x
   x = 598,340,521/10,830
6. Step 6: Final answer
   x = 55,248.43