Finding the Third Proportional to 2,258 and 4,886

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258 : 4,886 = 4,886 : x
2. Step 2: Convert to fraction form
   2,258/4,886 = 4,886/x
3. Step 3: Cross multiply
   2,258x = 4,886 × 4,886
4. Step 4: Simplify right side
   2,258x = 23,872,996
5. Step 5: Solve for x
   x = 23,872,996/2,258
6. Step 6: Final answer
   x = 10,572.63