Finding the Third Proportional to 2,826 and 5,986.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826 : 5,986.13 = 5,986.13 : x
2. Step 2: Convert to fraction form
   2,826/5,986.13 = 5,986.13/x
3. Step 3: Cross multiply
   2,826x = 5,986.13 × 5,986.13
4. Step 4: Simplify right side
   2,826x = 35,833,692.52
5. Step 5: Solve for x
   x = 35,833,692.52/2,826
6. Step 6: Final answer
   x = 12,680.00