Finding the Third Proportional to 10,941.75 and 24,006.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,941.75 : 24,006.38 = 24,006.38 : x
2. Step 2: Convert to fraction form
   10,941.75/24,006.38 = 24,006.38/x
3. Step 3: Cross multiply
   10,941.75x = 24,006.38 × 24,006.38
4. Step 4: Simplify right side
   10,941.75x = 576,306,040.64
5. Step 5: Solve for x
   x = 576,306,040.64/10,941.75
6. Step 6: Final answer
   x = 52,670.37