Finding the Third Proportional to 686.53 and 967.78

Step by Step Solution

1. Step 1: Write the proportion equation
   686.53 : 967.78 = 967.78 : x
2. Step 2: Convert to fraction form
   686.53/967.78 = 967.78/x
3. Step 3: Cross multiply
   686.53x = 967.78 × 967.78
4. Step 4: Simplify right side
   686.53x = 936,600.55
5. Step 5: Solve for x
   x = 936,600.55/686.53
6. Step 6: Final answer
   x = 1,364.25