Finding the Third Proportional to 10,540 and 24,406

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 24,406 = 24,406 : x
2. Step 2: Convert to fraction form
   10,540/24,406 = 24,406/x
3. Step 3: Cross multiply
   10,540x = 24,406 × 24,406
4. Step 4: Simplify right side
   10,540x = 595,652,836
5. Step 5: Solve for x
   x = 595,652,836/10,540
6. Step 6: Final answer
   x = 56,513.55