Finding the Third Proportional to 2,270 and 4,864

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270 : 4,864 = 4,864 : x
2. Step 2: Convert to fraction form
   2,270/4,864 = 4,864/x
3. Step 3: Cross multiply
   2,270x = 4,864 × 4,864
4. Step 4: Simplify right side
   2,270x = 23,658,496
5. Step 5: Solve for x
   x = 23,658,496/2,270
6. Step 6: Final answer
   x = 10,422.24