Finding the Third Proportional to 5,748.05 and 7,708.92

Step by Step Solution

1. Step 1: Write the proportion equation
   5,748.05 : 7,708.92 = 7,708.92 : x
2. Step 2: Convert to fraction form
   5,748.05/7,708.92 = 7,708.92/x
3. Step 3: Cross multiply
   5,748.05x = 7,708.92 × 7,708.92
4. Step 4: Simplify right side
   5,748.05x = 59,427,476.47
5. Step 5: Solve for x
   x = 59,427,476.47/5,748.05
6. Step 6: Final answer
   x = 10,338.73