Finding the Third Proportional to 2,562.75 and 3,728.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.75 : 3,728.25 = 3,728.25 : x
2. Step 2: Convert to fraction form
   2,562.75/3,728.25 = 3,728.25/x
3. Step 3: Cross multiply
   2,562.75x = 3,728.25 × 3,728.25
4. Step 4: Simplify right side
   2,562.75x = 13,899,848.06
5. Step 5: Solve for x
   x = 13,899,848.06/2,562.75
6. Step 6: Final answer
   x = 5,423.80