Finding the Third Proportional to 2,258 and 4,802

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258 : 4,802 = 4,802 : x
2. Step 2: Convert to fraction form
   2,258/4,802 = 4,802/x
3. Step 3: Cross multiply
   2,258x = 4,802 × 4,802
4. Step 4: Simplify right side
   2,258x = 23,059,204
5. Step 5: Solve for x
   x = 23,059,204/2,258
6. Step 6: Final answer
   x = 10,212.22