Finding the Third Proportional to 685.69 and 1,061.44

Step by Step Solution

1. Step 1: Write the proportion equation
   685.69 : 1,061.44 = 1,061.44 : x
2. Step 2: Convert to fraction form
   685.69/1,061.44 = 1,061.44/x
3. Step 3: Cross multiply
   685.69x = 1,061.44 × 1,061.44
4. Step 4: Simplify right side
   685.69x = 1,126,649.57
5. Step 5: Solve for x
   x = 1,126,649.57/685.69
6. Step 6: Final answer
   x = 1,643.09