Finding the Third Proportional to 2,144 and 2,328

Step by Step Solution

1. Step 1: Write the proportion equation
   2,144 : 2,328 = 2,328 : x
2. Step 2: Convert to fraction form
   2,144/2,328 = 2,328/x
3. Step 3: Cross multiply
   2,144x = 2,328 × 2,328
4. Step 4: Simplify right side
   2,144x = 5,419,584
5. Step 5: Solve for x
   x = 5,419,584/2,144
6. Step 6: Final answer
   x = 2,527.79