Finding the Third Proportional to 10,982.25 and 24,098.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,982.25 : 24,098.63 = 24,098.63 : x
2. Step 2: Convert to fraction form
   10,982.25/24,098.63 = 24,098.63/x
3. Step 3: Cross multiply
   10,982.25x = 24,098.63 × 24,098.63
4. Step 4: Simplify right side
   10,982.25x = 580,743,726.89
5. Step 5: Solve for x
   x = 580,743,726.89/10,982.25
6. Step 6: Final answer
   x = 52,880.21