Finding the Third Proportional to 2,142 and 4,402

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142 : 4,402 = 4,402 : x
2. Step 2: Convert to fraction form
   2,142/4,402 = 4,402/x
3. Step 3: Cross multiply
   2,142x = 4,402 × 4,402
4. Step 4: Simplify right side
   2,142x = 19,377,604
5. Step 5: Solve for x
   x = 19,377,604/2,142
6. Step 6: Final answer
   x = 9,046.50