Finding the Third Proportional to 685.69 and 1,045.69

Step by Step Solution

1. Step 1: Write the proportion equation
   685.69 : 1,045.69 = 1,045.69 : x
2. Step 2: Convert to fraction form
   685.69/1,045.69 = 1,045.69/x
3. Step 3: Cross multiply
   685.69x = 1,045.69 × 1,045.69
4. Step 4: Simplify right side
   685.69x = 1,093,462.35
5. Step 5: Solve for x
   x = 1,093,462.35/685.69
6. Step 6: Final answer
   x = 1,594.69