Finding the Third Proportional to 2,744 and 5,852

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744 : 5,852 = 5,852 : x
2. Step 2: Convert to fraction form
   2,744/5,852 = 5,852/x
3. Step 3: Cross multiply
   2,744x = 5,852 × 5,852
4. Step 4: Simplify right side
   2,744x = 34,245,904
5. Step 5: Solve for x
   x = 34,245,904/2,744
6. Step 6: Final answer
   x = 12,480.29