Finding the Third Proportional to 11,504 and 17,768

Step by Step Solution

1. Step 1: Write the proportion equation
   11,504 : 17,768 = 17,768 : x
2. Step 2: Convert to fraction form
   11,504/17,768 = 17,768/x
3. Step 3: Cross multiply
   11,504x = 17,768 × 17,768
4. Step 4: Simplify right side
   11,504x = 315,701,824
5. Step 5: Solve for x
   x = 315,701,824/11,504
6. Step 6: Final answer
   x = 27,442.79