Finding the Third Proportional to 2,764.50 and 5,785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.50 : 5,785.25 = 5,785.25 : x
2. Step 2: Convert to fraction form
   2,764.50/5,785.25 = 5,785.25/x
3. Step 3: Cross multiply
   2,764.50x = 5,785.25 × 5,785.25
4. Step 4: Simplify right side
   2,764.50x = 33,469,117.56
5. Step 5: Solve for x
   x = 33,469,117.56/2,764.50
6. Step 6: Final answer
   x = 12,106.75