Finding the Third Proportional to 1,046.50 and 2,258

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.50 : 2,258 = 2,258 : x
2. Step 2: Convert to fraction form
   1,046.50/2,258 = 2,258/x
3. Step 3: Cross multiply
   1,046.50x = 2,258 × 2,258
4. Step 4: Simplify right side
   1,046.50x = 5,098,564
5. Step 5: Solve for x
   x = 5,098,564/1,046.50
6. Step 6: Final answer
   x = 4,872.02