Finding the Third Proportional to 2,258 and 5,227

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258 : 5,227 = 5,227 : x
2. Step 2: Convert to fraction form
   2,258/5,227 = 5,227/x
3. Step 3: Cross multiply
   2,258x = 5,227 × 5,227
4. Step 4: Simplify right side
   2,258x = 27,321,529
5. Step 5: Solve for x
   x = 27,321,529/2,258
6. Step 6: Final answer
   x = 12,099.88