Finding the Third Proportional to 1,208 and 1,744

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208 : 1,744 = 1,744 : x
2. Step 2: Convert to fraction form
   1,208/1,744 = 1,744/x
3. Step 3: Cross multiply
   1,208x = 1,744 × 1,744
4. Step 4: Simplify right side
   1,208x = 3,041,536
5. Step 5: Solve for x
   x = 3,041,536/1,208
6. Step 6: Final answer
   x = 2,517.83