Finding the Third Proportional to 5,723.79 and 7,708.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,723.79 : 7,708.61 = 7,708.61 : x
2. Step 2: Convert to fraction form
   5,723.79/7,708.61 = 7,708.61/x
3. Step 3: Cross multiply
   5,723.79x = 7,708.61 × 7,708.61
4. Step 4: Simplify right side
   5,723.79x = 59,422,598.27
5. Step 5: Solve for x
   x = 59,422,598.27/5,723.79
6. Step 6: Final answer
   x = 10,381.69