Finding the Third Proportional to 10,975.50 and 24,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975.50 : 24,414.75 = 24,414.75 : x
2. Step 2: Convert to fraction form
   10,975.50/24,414.75 = 24,414.75/x
3. Step 3: Cross multiply
   10,975.50x = 24,414.75 × 24,414.75
4. Step 4: Simplify right side
   10,975.50x = 596,080,017.56
5. Step 5: Solve for x
   x = 596,080,017.56/10,975.50
6. Step 6: Final answer
   x = 54,310.06