Finding the Third Proportional to 839.50 and 1,142

Step by Step Solution

1. Step 1: Write the proportion equation
   839.50 : 1,142 = 1,142 : x
2. Step 2: Convert to fraction form
   839.50/1,142 = 1,142/x
3. Step 3: Cross multiply
   839.50x = 1,142 × 1,142
4. Step 4: Simplify right side
   839.50x = 1,304,164
5. Step 5: Solve for x
   x = 1,304,164/839.50
6. Step 6: Final answer
   x = 1,553.50