Finding the Third Proportional to 3,258.56 and 3,623.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,258.56 : 3,623.06 = 3,623.06 : x
2. Step 2: Convert to fraction form
   3,258.56/3,623.06 = 3,623.06/x
3. Step 3: Cross multiply
   3,258.56x = 3,623.06 × 3,623.06
4. Step 4: Simplify right side
   3,258.56x = 13,126,581.88
5. Step 5: Solve for x
   x = 13,126,581.88/3,258.56
6. Step 6: Final answer
   x = 4,028.34