Finding the Third Proportional to 10,819.40 and 16,185.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,819.40 : 16,185.86 = 16,185.86 : x
2. Step 2: Convert to fraction form
   10,819.40/16,185.86 = 16,185.86/x
3. Step 3: Cross multiply
   10,819.40x = 16,185.86 × 16,185.86
4. Step 4: Simplify right side
   10,819.40x = 261,981,923.18
5. Step 5: Solve for x
   x = 261,981,923.18/10,819.40
6. Step 6: Final answer
   x = 24,214.08