Finding the Third Proportional to 3,380 and 7,144

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380 : 7,144 = 7,144 : x
2. Step 2: Convert to fraction form
   3,380/7,144 = 7,144/x
3. Step 3: Cross multiply
   3,380x = 7,144 × 7,144
4. Step 4: Simplify right side
   3,380x = 51,036,736
5. Step 5: Solve for x
   x = 51,036,736/3,380
6. Step 6: Final answer
   x = 15,099.63