Finding the Third Proportional to 2,655 and 5,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,655 : 5,806.50 = 5,806.50 : x
2. Step 2: Convert to fraction form
   2,655/5,806.50 = 5,806.50/x
3. Step 3: Cross multiply
   2,655x = 5,806.50 × 5,806.50
4. Step 4: Simplify right side
   2,655x = 33,715,442.25
5. Step 5: Solve for x
   x = 33,715,442.25/2,655
6. Step 6: Final answer
   x = 12,698.85