Finding the Third Proportional to 2,142 and 4,412

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142 : 4,412 = 4,412 : x
2. Step 2: Convert to fraction form
   2,142/4,412 = 4,412/x
3. Step 3: Cross multiply
   2,142x = 4,412 × 4,412
4. Step 4: Simplify right side
   2,142x = 19,465,744
5. Step 5: Solve for x
   x = 19,465,744/2,142
6. Step 6: Final answer
   x = 9,087.65