Finding the Third Proportional to 3,258 and 7,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,258 : 7,684.50 = 7,684.50 : x
2. Step 2: Convert to fraction form
   3,258/7,684.50 = 7,684.50/x
3. Step 3: Cross multiply
   3,258x = 7,684.50 × 7,684.50
4. Step 4: Simplify right side
   3,258x = 59,051,540.25
5. Step 5: Solve for x
   x = 59,051,540.25/3,258
6. Step 6: Final answer
   x = 18,125.09