Finding the Third Proportional to 1,015.25 and 1,524

Step by Step Solution

1. Step 1: Write the proportion equation
   1,015.25 : 1,524 = 1,524 : x
2. Step 2: Convert to fraction form
   1,015.25/1,524 = 1,524/x
3. Step 3: Cross multiply
   1,015.25x = 1,524 × 1,524
4. Step 4: Simplify right side
   1,015.25x = 2,322,576
5. Step 5: Solve for x
   x = 2,322,576/1,015.25
6. Step 6: Final answer
   x = 2,287.69