Finding the Third Proportional to 2,706.38 and 5,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.38 : 5,826.75 = 5,826.75 : x
2. Step 2: Convert to fraction form
   2,706.38/5,826.75 = 5,826.75/x
3. Step 3: Cross multiply
   2,706.38x = 5,826.75 × 5,826.75
4. Step 4: Simplify right side
   2,706.38x = 33,951,015.56
5. Step 5: Solve for x
   x = 33,951,015.56/2,706.38
6. Step 6: Final answer
   x = 12,544.83