Finding the Third Proportional to 2,920 and 7,144

Step by Step Solution

1. Step 1: Write the proportion equation
   2,920 : 7,144 = 7,144 : x
2. Step 2: Convert to fraction form
   2,920/7,144 = 7,144/x
3. Step 3: Cross multiply
   2,920x = 7,144 × 7,144
4. Step 4: Simplify right side
   2,920x = 51,036,736
5. Step 5: Solve for x
   x = 51,036,736/2,920
6. Step 6: Final answer
   x = 17,478.33