Finding the Third Proportional to 5,128.88 and 7,255.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,128.88 : 7,255.69 = 7,255.69 : x
2. Step 2: Convert to fraction form
   5,128.88/7,255.69 = 7,255.69/x
3. Step 3: Cross multiply
   5,128.88x = 7,255.69 × 7,255.69
4. Step 4: Simplify right side
   5,128.88x = 52,645,001.10
5. Step 5: Solve for x
   x = 52,645,001.10/5,128.88
6. Step 6: Final answer
   x = 10,264.43