Finding the Third Proportional to 768.50 and 1,098

Step by Step Solution

1. Step 1: Write the proportion equation
   768.50 : 1,098 = 1,098 : x
2. Step 2: Convert to fraction form
   768.50/1,098 = 1,098/x
3. Step 3: Cross multiply
   768.50x = 1,098 × 1,098
4. Step 4: Simplify right side
   768.50x = 1,205,604
5. Step 5: Solve for x
   x = 1,205,604/768.50
6. Step 6: Final answer
   x = 1,568.78