Finding the Third Proportional to 768.50 and 1,022

Step by Step Solution

1. Step 1: Write the proportion equation
   768.50 : 1,022 = 1,022 : x
2. Step 2: Convert to fraction form
   768.50/1,022 = 1,022/x
3. Step 3: Cross multiply
   768.50x = 1,022 × 1,022
4. Step 4: Simplify right side
   768.50x = 1,044,484
5. Step 5: Solve for x
   x = 1,044,484/768.50
6. Step 6: Final answer
   x = 1,359.12