Finding the Third Proportional to 5,543.50 and 8,315.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,543.50 : 8,315.25 = 8,315.25 : x
2. Step 2: Convert to fraction form
   5,543.50/8,315.25 = 8,315.25/x
3. Step 3: Cross multiply
   5,543.50x = 8,315.25 × 8,315.25
4. Step 4: Simplify right side
   5,543.50x = 69,143,382.56
5. Step 5: Solve for x
   x = 69,143,382.56/5,543.50
6. Step 6: Final answer
   x = 12,472.88