Finding the Third Proportional to 1,408.50 and 3,258.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.50 : 3,258.56 = 3,258.56 : x
2. Step 2: Convert to fraction form
   1,408.50/3,258.56 = 3,258.56/x
3. Step 3: Cross multiply
   1,408.50x = 3,258.56 × 3,258.56
4. Step 4: Simplify right side
   1,408.50x = 10,618,229.57
5. Step 5: Solve for x
   x = 10,618,229.57/1,408.50
6. Step 6: Final answer
   x = 7,538.68