Finding the Third Proportional to 10,966.50 and 24,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,966.50 : 24,015.50 = 24,015.50 : x
2. Step 2: Convert to fraction form
   10,966.50/24,015.50 = 24,015.50/x
3. Step 3: Cross multiply
   10,966.50x = 24,015.50 × 24,015.50
4. Step 4: Simplify right side
   10,966.50x = 576,744,240.25
5. Step 5: Solve for x
   x = 576,744,240.25/10,966.50
6. Step 6: Final answer
   x = 52,591.46