Finding the Third Proportional to 768.94 and 1,034.72

Step by Step Solution

1. Step 1: Write the proportion equation
   768.94 : 1,034.72 = 1,034.72 : x
2. Step 2: Convert to fraction form
   768.94/1,034.72 = 1,034.72/x
3. Step 3: Cross multiply
   768.94x = 1,034.72 × 1,034.72
4. Step 4: Simplify right side
   768.94x = 1,070,642.89
5. Step 5: Solve for x
   x = 1,070,642.89/768.94
6. Step 6: Final answer
   x = 1,392.37