Finding the Third Proportional to 2,684 and 3,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684 : 3,906.50 = 3,906.50 : x
2. Step 2: Convert to fraction form
   2,684/3,906.50 = 3,906.50/x
3. Step 3: Cross multiply
   2,684x = 3,906.50 × 3,906.50
4. Step 4: Simplify right side
   2,684x = 15,260,742.25
5. Step 5: Solve for x
   x = 15,260,742.25/2,684
6. Step 6: Final answer
   x = 5,685.82