Finding the Third Proportional to 2,448 and 4,864

Step by Step Solution

1. Step 1: Write the proportion equation
   2,448 : 4,864 = 4,864 : x
2. Step 2: Convert to fraction form
   2,448/4,864 = 4,864/x
3. Step 3: Cross multiply
   2,448x = 4,864 × 4,864
4. Step 4: Simplify right side
   2,448x = 23,658,496
5. Step 5: Solve for x
   x = 23,658,496/2,448
6. Step 6: Final answer
   x = 9,664.42