Finding the Third Proportional to 2,742 and 4,016

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742 : 4,016 = 4,016 : x
2. Step 2: Convert to fraction form
   2,742/4,016 = 4,016/x
3. Step 3: Cross multiply
   2,742x = 4,016 × 4,016
4. Step 4: Simplify right side
   2,742x = 16,128,256
5. Step 5: Solve for x
   x = 16,128,256/2,742
6. Step 6: Final answer
   x = 5,881.93