Finding the Third Proportional to 2,653.25 and 5,785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.25 : 5,785.75 = 5,785.75 : x
2. Step 2: Convert to fraction form
   2,653.25/5,785.75 = 5,785.75/x
3. Step 3: Cross multiply
   2,653.25x = 5,785.75 × 5,785.75
4. Step 4: Simplify right side
   2,653.25x = 33,474,903.06
5. Step 5: Solve for x
   x = 33,474,903.06/2,653.25
6. Step 6: Final answer
   x = 12,616.57