Finding the Third Proportional to 2,304 and 4,896

Step by Step Solution

1. Step 1: Write the proportion equation
   2,304 : 4,896 = 4,896 : x
2. Step 2: Convert to fraction form
   2,304/4,896 = 4,896/x
3. Step 3: Cross multiply
   2,304x = 4,896 × 4,896
4. Step 4: Simplify right side
   2,304x = 23,970,816
5. Step 5: Solve for x
   x = 23,970,816/2,304
6. Step 6: Final answer
   x = 10,404