Finding the Third Proportional to 12,286.69 and 18,409.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,286.69 : 18,409.78 = 18,409.78 : x
2. Step 2: Convert to fraction form
   12,286.69/18,409.78 = 18,409.78/x
3. Step 3: Cross multiply
   12,286.69x = 18,409.78 × 18,409.78
4. Step 4: Simplify right side
   12,286.69x = 338,920,045.67
5. Step 5: Solve for x
   x = 338,920,045.67/12,286.69
6. Step 6: Final answer
   x = 27,584.33