Finding the Third Proportional to 11,300 and 16,544

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 16,544 = 16,544 : x
2. Step 2: Convert to fraction form
   11,300/16,544 = 16,544/x
3. Step 3: Cross multiply
   11,300x = 16,544 × 16,544
4. Step 4: Simplify right side
   11,300x = 273,703,936
5. Step 5: Solve for x
   x = 273,703,936/11,300
6. Step 6: Final answer
   x = 24,221.59