Finding the Third Proportional to 3,258 and 3,538

Step by Step Solution

1. Step 1: Write the proportion equation
   3,258 : 3,538 = 3,538 : x
2. Step 2: Convert to fraction form
   3,258/3,538 = 3,538/x
3. Step 3: Cross multiply
   3,258x = 3,538 × 3,538
4. Step 4: Simplify right side
   3,258x = 12,517,444
5. Step 5: Solve for x
   x = 12,517,444/3,258
6. Step 6: Final answer
   x = 3,842.06