Finding the Third Proportional to 10,940 and 24,006

Step by Step Solution

1. Step 1: Write the proportion equation
   10,940 : 24,006 = 24,006 : x
2. Step 2: Convert to fraction form
   10,940/24,006 = 24,006/x
3. Step 3: Cross multiply
   10,940x = 24,006 × 24,006
4. Step 4: Simplify right side
   10,940x = 576,288,036
5. Step 5: Solve for x
   x = 576,288,036/10,940
6. Step 6: Final answer
   x = 52,677.15