Finding the Third Proportional to 709.80 and 1,077.52

Step by Step Solution

1. Step 1: Write the proportion equation
   709.80 : 1,077.52 = 1,077.52 : x
2. Step 2: Convert to fraction form
   709.80/1,077.52 = 1,077.52/x
3. Step 3: Cross multiply
   709.80x = 1,077.52 × 1,077.52
4. Step 4: Simplify right side
   709.80x = 1,161,052.55
5. Step 5: Solve for x
   x = 1,161,052.55/709.80
6. Step 6: Final answer
   x = 1,635.74