Finding the Third Proportional to 685.25 and 976.38

Step by Step Solution

1. Step 1: Write the proportion equation
   685.25 : 976.38 = 976.38 : x
2. Step 2: Convert to fraction form
   685.25/976.38 = 976.38/x
3. Step 3: Cross multiply
   685.25x = 976.38 × 976.38
4. Step 4: Simplify right side
   685.25x = 953,308.14
5. Step 5: Solve for x
   x = 953,308.14/685.25
6. Step 6: Final answer
   x = 1,391.18