Finding the Third Proportional to 1,009.50 and 1,544

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.50 : 1,544 = 1,544 : x
2. Step 2: Convert to fraction form
   1,009.50/1,544 = 1,544/x
3. Step 3: Cross multiply
   1,009.50x = 1,544 × 1,544
4. Step 4: Simplify right side
   1,009.50x = 2,383,936
5. Step 5: Solve for x
   x = 2,383,936/1,009.50
6. Step 6: Final answer
   x = 2,361.50