Finding the Third Proportional to 469 and 1,028.25

Step by Step Solution

1. Step 1: Write the proportion equation
   469 : 1,028.25 = 1,028.25 : x
2. Step 2: Convert to fraction form
   469/1,028.25 = 1,028.25/x
3. Step 3: Cross multiply
   469x = 1,028.25 × 1,028.25
4. Step 4: Simplify right side
   469x = 1,057,298.06
5. Step 5: Solve for x
   x = 1,057,298.06/469
6. Step 6: Final answer
   x = 2,254.37