Finding the Third Proportional to 5,635.50 and 8,124.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,635.50 : 8,124.75 = 8,124.75 : x
2. Step 2: Convert to fraction form
   5,635.50/8,124.75 = 8,124.75/x
3. Step 3: Cross multiply
   5,635.50x = 8,124.75 × 8,124.75
4. Step 4: Simplify right side
   5,635.50x = 66,011,562.56
5. Step 5: Solve for x
   x = 66,011,562.56/5,635.50
6. Step 6: Final answer
   x = 11,713.52