Finding the Third Proportional to 11,578.50 and 17,939.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578.50 : 17,939.75 = 17,939.75 : x
2. Step 2: Convert to fraction form
   11,578.50/17,939.75 = 17,939.75/x
3. Step 3: Cross multiply
   11,578.50x = 17,939.75 × 17,939.75
4. Step 4: Simplify right side
   11,578.50x = 321,834,630.06
5. Step 5: Solve for x
   x = 321,834,630.06/11,578.50
6. Step 6: Final answer
   x = 27,795.88