Finding the Third Proportional to 1,744 and 2,016

Step by Step Solution

1. Step 1: Write the proportion equation
   1,744 : 2,016 = 2,016 : x
2. Step 2: Convert to fraction form
   1,744/2,016 = 2,016/x
3. Step 3: Cross multiply
   1,744x = 2,016 × 2,016
4. Step 4: Simplify right side
   1,744x = 4,064,256
5. Step 5: Solve for x
   x = 4,064,256/1,744
6. Step 6: Final answer
   x = 2,330.42