Finding the Third Proportional to 2,485.75 and 3,723.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,485.75 : 3,723.25 = 3,723.25 : x
2. Step 2: Convert to fraction form
   2,485.75/3,723.25 = 3,723.25/x
3. Step 3: Cross multiply
   2,485.75x = 3,723.25 × 3,723.25
4. Step 4: Simplify right side
   2,485.75x = 13,862,590.56
5. Step 5: Solve for x
   x = 13,862,590.56/2,485.75
6. Step 6: Final answer
   x = 5,576.82