Finding the Third Proportional to 5,752.69 and 8,685.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,752.69 : 8,685.56 = 8,685.56 : x
2. Step 2: Convert to fraction form
   5,752.69/8,685.56 = 8,685.56/x
3. Step 3: Cross multiply
   5,752.69x = 8,685.56 × 8,685.56
4. Step 4: Simplify right side
   5,752.69x = 75,438,995.94
5. Step 5: Solve for x
   x = 75,438,995.94/5,752.69
6. Step 6: Final answer
   x = 13,113.70