Finding the Third Proportional to 12,205.69 and 16,417.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,205.69 : 16,417.69 = 16,417.69 : x
2. Step 2: Convert to fraction form
   12,205.69/16,417.69 = 16,417.69/x
3. Step 3: Cross multiply
   12,205.69x = 16,417.69 × 16,417.69
4. Step 4: Simplify right side
   12,205.69x = 269,540,462.85
5. Step 5: Solve for x
   x = 269,540,462.85/12,205.69
6. Step 6: Final answer
   x = 22,083.19