Finding the Third Proportional to 2,258 and 4,820

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258 : 4,820 = 4,820 : x
2. Step 2: Convert to fraction form
   2,258/4,820 = 4,820/x
3. Step 3: Cross multiply
   2,258x = 4,820 × 4,820
4. Step 4: Simplify right side
   2,258x = 23,232,400
5. Step 5: Solve for x
   x = 23,232,400/2,258
6. Step 6: Final answer
   x = 10,288.93