Finding the Third Proportional to 2,750 and 5,826.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,750 : 5,826.25 = 5,826.25 : x
2. Step 2: Convert to fraction form
   2,750/5,826.25 = 5,826.25/x
3. Step 3: Cross multiply
   2,750x = 5,826.25 × 5,826.25
4. Step 4: Simplify right side
   2,750x = 33,945,189.06
5. Step 5: Solve for x
   x = 33,945,189.06/2,750
6. Step 6: Final answer
   x = 12,343.71