Finding the Third Proportional to 1,142 and 2,400

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142 : 2,400 = 2,400 : x
2. Step 2: Convert to fraction form
   1,142/2,400 = 2,400/x
3. Step 3: Cross multiply
   1,142x = 2,400 × 2,400
4. Step 4: Simplify right side
   1,142x = 5,760,000
5. Step 5: Solve for x
   x = 5,760,000/1,142
6. Step 6: Final answer
   x = 5,043.78