Finding the Third Proportional to 757.75 and 1,142

Step by Step Solution

1. Step 1: Write the proportion equation
   757.75 : 1,142 = 1,142 : x
2. Step 2: Convert to fraction form
   757.75/1,142 = 1,142/x
3. Step 3: Cross multiply
   757.75x = 1,142 × 1,142
4. Step 4: Simplify right side
   757.75x = 1,304,164
5. Step 5: Solve for x
   x = 1,304,164/757.75
6. Step 6: Final answer
   x = 1,721.10