Finding the Third Proportional to 867 and 1,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   867 : 1,142.25 = 1,142.25 : x
2. Step 2: Convert to fraction form
   867/1,142.25 = 1,142.25/x
3. Step 3: Cross multiply
   867x = 1,142.25 × 1,142.25
4. Step 4: Simplify right side
   867x = 1,304,735.06
5. Step 5: Solve for x
   x = 1,304,735.06/867
6. Step 6: Final answer
   x = 1,504.88