Finding the Third Proportional to 1,004 and 1,142

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004 : 1,142 = 1,142 : x
2. Step 2: Convert to fraction form
   1,004/1,142 = 1,142/x
3. Step 3: Cross multiply
   1,004x = 1,142 × 1,142
4. Step 4: Simplify right side
   1,004x = 1,304,164
5. Step 5: Solve for x
   x = 1,304,164/1,004
6. Step 6: Final answer
   x = 1,298.97