Finding the Third Proportional to 2,764.31 and 5,785.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.31 : 5,785.13 = 5,785.13 : x
2. Step 2: Convert to fraction form
   2,764.31/5,785.13 = 5,785.13/x
3. Step 3: Cross multiply
   2,764.31x = 5,785.13 × 5,785.13
4. Step 4: Simplify right side
   2,764.31x = 33,467,671.27
5. Step 5: Solve for x
   x = 33,467,671.27/2,764.31
6. Step 6: Final answer
   x = 12,107.05