Finding the Third Proportional to 768.87 and 1,016.61

Step by Step Solution

1. Step 1: Write the proportion equation
   768.87 : 1,016.61 = 1,016.61 : x
2. Step 2: Convert to fraction form
   768.87/1,016.61 = 1,016.61/x
3. Step 3: Cross multiply
   768.87x = 1,016.61 × 1,016.61
4. Step 4: Simplify right side
   768.87x = 1,033,502.56
5. Step 5: Solve for x
   x = 1,033,502.56/768.87
6. Step 6: Final answer
   x = 1,344.19