Finding the Third Proportional to 709.59 and 1,540.69

Step by Step Solution

1. Step 1: Write the proportion equation
   709.59 : 1,540.69 = 1,540.69 : x
2. Step 2: Convert to fraction form
   709.59/1,540.69 = 1,540.69/x
3. Step 3: Cross multiply
   709.59x = 1,540.69 × 1,540.69
4. Step 4: Simplify right side
   709.59x = 2,373,717.97
5. Step 5: Solve for x
   x = 2,373,717.97/709.59
6. Step 6: Final answer
   x = 3,345.18