Finding the Third Proportional to 1,142 and 1,488

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142 : 1,488 = 1,488 : x
2. Step 2: Convert to fraction form
   1,142/1,488 = 1,488/x
3. Step 3: Cross multiply
   1,142x = 1,488 × 1,488
4. Step 4: Simplify right side
   1,142x = 2,214,144
5. Step 5: Solve for x
   x = 2,214,144/1,142
6. Step 6: Final answer
   x = 1,938.83