Finding the Third Proportional to 2,074 and 2,258

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074 : 2,258 = 2,258 : x
2. Step 2: Convert to fraction form
   2,074/2,258 = 2,258/x
3. Step 3: Cross multiply
   2,074x = 2,258 × 2,258
4. Step 4: Simplify right side
   2,074x = 5,098,564
5. Step 5: Solve for x
   x = 5,098,564/2,074
6. Step 6: Final answer
   x = 2,458.32