Finding the Third Proportional to 801 and 1,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   801 : 1,142.50 = 1,142.50 : x
2. Step 2: Convert to fraction form
   801/1,142.50 = 1,142.50/x
3. Step 3: Cross multiply
   801x = 1,142.50 × 1,142.50
4. Step 4: Simplify right side
   801x = 1,305,306.25
5. Step 5: Solve for x
   x = 1,305,306.25/801
6. Step 6: Final answer
   x = 1,629.60