Finding the Third Proportional to 4,027.50 and 10,028.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,027.50 : 10,028.25 = 10,028.25 : x
2. Step 2: Convert to fraction form
   4,027.50/10,028.25 = 10,028.25/x
3. Step 3: Cross multiply
   4,027.50x = 10,028.25 × 10,028.25
4. Step 4: Simplify right side
   4,027.50x = 100,565,798.06
5. Step 5: Solve for x
   x = 100,565,798.06/4,027.50
6. Step 6: Final answer
   x = 24,969.78