Finding the Third Proportional to 685.94 and 1,063.69

Step by Step Solution

1. Step 1: Write the proportion equation
   685.94 : 1,063.69 = 1,063.69 : x
2. Step 2: Convert to fraction form
   685.94/1,063.69 = 1,063.69/x
3. Step 3: Cross multiply
   685.94x = 1,063.69 × 1,063.69
4. Step 4: Simplify right side
   685.94x = 1,131,431.10
5. Step 5: Solve for x
   x = 1,131,431.10/685.94
6. Step 6: Final answer
   x = 1,649.47