Finding the Third Proportional to 2,794.25 and 5,817.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,794.25 : 5,817.75 = 5,817.75 : x
2. Step 2: Convert to fraction form
   2,794.25/5,817.75 = 5,817.75/x
3. Step 3: Cross multiply
   2,794.25x = 5,817.75 × 5,817.75
4. Step 4: Simplify right side
   2,794.25x = 33,846,215.06
5. Step 5: Solve for x
   x = 33,846,215.06/2,794.25
6. Step 6: Final answer
   x = 12,112.81