Finding the Third Proportional to 10,543.50 and 15,288.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.50 : 15,288.75 = 15,288.75 : x
2. Step 2: Convert to fraction form
   10,543.50/15,288.75 = 15,288.75/x
3. Step 3: Cross multiply
   10,543.50x = 15,288.75 × 15,288.75
4. Step 4: Simplify right side
   10,543.50x = 233,745,876.56
5. Step 5: Solve for x
   x = 233,745,876.56/10,543.50
6. Step 6: Final answer
   x = 22,169.67