Finding the Third Proportional to 2,744 and 7,460

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744 : 7,460 = 7,460 : x
2. Step 2: Convert to fraction form
   2,744/7,460 = 7,460/x
3. Step 3: Cross multiply
   2,744x = 7,460 × 7,460
4. Step 4: Simplify right side
   2,744x = 55,651,600
5. Step 5: Solve for x
   x = 55,651,600/2,744
6. Step 6: Final answer
   x = 20,281.20