Finding the Third Proportional to 5,751.56 and 7,728.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,751.56 : 7,728.75 = 7,728.75 : x
2. Step 2: Convert to fraction form
   5,751.56/7,728.75 = 7,728.75/x
3. Step 3: Cross multiply
   5,751.56x = 7,728.75 × 7,728.75
4. Step 4: Simplify right side
   5,751.56x = 59,733,576.56
5. Step 5: Solve for x
   x = 59,733,576.56/5,751.56
6. Step 6: Final answer
   x = 10,385.63