Finding the Third Proportional to 11,288.25 and 17,578.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,288.25 : 17,578.88 = 17,578.88 : x
2. Step 2: Convert to fraction form
   11,288.25/17,578.88 = 17,578.88/x
3. Step 3: Cross multiply
   11,288.25x = 17,578.88 × 17,578.88
4. Step 4: Simplify right side
   11,288.25x = 309,016,846.27
5. Step 5: Solve for x
   x = 309,016,846.27/11,288.25
6. Step 6: Final answer
   x = 27,375.09