Finding the Third Proportional to 2,258.51 and 3,548.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.51 : 3,548.18 = 3,548.18 : x
2. Step 2: Convert to fraction form
   2,258.51/3,548.18 = 3,548.18/x
3. Step 3: Cross multiply
   2,258.51x = 3,548.18 × 3,548.18
4. Step 4: Simplify right side
   2,258.51x = 12,589,579.09
5. Step 5: Solve for x
   x = 12,589,579.09/2,258.51
6. Step 6: Final answer
   x = 5,574.29