Finding the Third Proportional to 10,742 and 24,227

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742 : 24,227 = 24,227 : x
2. Step 2: Convert to fraction form
   10,742/24,227 = 24,227/x
3. Step 3: Cross multiply
   10,742x = 24,227 × 24,227
4. Step 4: Simplify right side
   10,742x = 586,947,529
5. Step 5: Solve for x
   x = 586,947,529/10,742
6. Step 6: Final answer
   x = 54,640.43