Finding the Third Proportional to 2,638 and 5,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638 : 5,685.50 = 5,685.50 : x
2. Step 2: Convert to fraction form
   2,638/5,685.50 = 5,685.50/x
3. Step 3: Cross multiply
   2,638x = 5,685.50 × 5,685.50
4. Step 4: Simplify right side
   2,638x = 32,324,910.25
5. Step 5: Solve for x
   x = 32,324,910.25/2,638
6. Step 6: Final answer
   x = 12,253.57