Finding the Third Proportional to 709.59 and 1,040.34

Step by Step Solution

1. Step 1: Write the proportion equation
   709.59 : 1,040.34 = 1,040.34 : x
2. Step 2: Convert to fraction form
   709.59/1,040.34 = 1,040.34/x
3. Step 3: Cross multiply
   709.59x = 1,040.34 × 1,040.34
4. Step 4: Simplify right side
   709.59x = 1,082,315.12
5. Step 5: Solve for x
   x = 1,082,315.12/709.59
6. Step 6: Final answer
   x = 1,525.26