Finding the Third Proportional to 1,018.41 and 1,527.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.41 : 1,527.33 = 1,527.33 : x
2. Step 2: Convert to fraction form
   1,018.41/1,527.33 = 1,527.33/x
3. Step 3: Cross multiply
   1,018.41x = 1,527.33 × 1,527.33
4. Step 4: Simplify right side
   1,018.41x = 2,332,731.20
5. Step 5: Solve for x
   x = 2,332,731.20/1,018.41
6. Step 6: Final answer
   x = 2,290.57