Finding the Third Proportional to 709.82 and 1,089.53

Step by Step Solution

1. Step 1: Write the proportion equation
   709.82 : 1,089.53 = 1,089.53 : x
2. Step 2: Convert to fraction form
   709.82/1,089.53 = 1,089.53/x
3. Step 3: Cross multiply
   709.82x = 1,089.53 × 1,089.53
4. Step 4: Simplify right side
   709.82x = 1,187,069.83
5. Step 5: Solve for x
   x = 1,187,069.83/709.82
6. Step 6: Final answer
   x = 1,672.35