Finding the Third Proportional to 3,478.50 and 7,686

Step by Step Solution

1. Step 1: Write the proportion equation
   3,478.50 : 7,686 = 7,686 : x
2. Step 2: Convert to fraction form
   3,478.50/7,686 = 7,686/x
3. Step 3: Cross multiply
   3,478.50x = 7,686 × 7,686
4. Step 4: Simplify right side
   3,478.50x = 59,074,596
5. Step 5: Solve for x
   x = 59,074,596/3,478.50
6. Step 6: Final answer
   x = 16,982.78