Finding the Third Proportional to 684.56 and 963.56

Step by Step Solution

1. Step 1: Write the proportion equation
   684.56 : 963.56 = 963.56 : x
2. Step 2: Convert to fraction form
   684.56/963.56 = 963.56/x
3. Step 3: Cross multiply
   684.56x = 963.56 × 963.56
4. Step 4: Simplify right side
   684.56x = 928,452.69
5. Step 5: Solve for x
   x = 928,452.69/684.56
6. Step 6: Final answer
   x = 1,356.27