Finding the Third Proportional to 2,105.16 and 3,258.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.16 : 3,258.14 = 3,258.14 : x
2. Step 2: Convert to fraction form
   2,105.16/3,258.14 = 3,258.14/x
3. Step 3: Cross multiply
   2,105.16x = 3,258.14 × 3,258.14
4. Step 4: Simplify right side
   2,105.16x = 10,615,480.33
5. Step 5: Solve for x
   x = 10,615,480.33/2,105.16
6. Step 6: Final answer
   x = 5,042.61