Finding the Third Proportional to 10,917.38 and 16,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,917.38 : 16,578.75 = 16,578.75 : x
2. Step 2: Convert to fraction form
   10,917.38/16,578.75 = 16,578.75/x
3. Step 3: Cross multiply
   10,917.38x = 16,578.75 × 16,578.75
4. Step 4: Simplify right side
   10,917.38x = 274,854,951.56
5. Step 5: Solve for x
   x = 274,854,951.56/10,917.38
6. Step 6: Final answer
   x = 25,175.92