Finding the Third Proportional to 5,160.38 and 7,725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,160.38 : 7,725.38 = 7,725.38 : x
2. Step 2: Convert to fraction form
   5,160.38/7,725.38 = 7,725.38/x
3. Step 3: Cross multiply
   5,160.38x = 7,725.38 × 7,725.38
4. Step 4: Simplify right side
   5,160.38x = 59,681,418.89
5. Step 5: Solve for x
   x = 59,681,418.89/5,160.38
6. Step 6: Final answer
   x = 11,565.33