Finding the Third Proportional to 12,853.69 and 16,815.09

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.69 : 16,815.09 = 16,815.09 : x
2. Step 2: Convert to fraction form
   12,853.69/16,815.09 = 16,815.09/x
3. Step 3: Cross multiply
   12,853.69x = 16,815.09 × 16,815.09
4. Step 4: Simplify right side
   12,853.69x = 282,747,377.82
5. Step 5: Solve for x
   x = 282,747,377.82/12,853.69
6. Step 6: Final answer
   x = 21,997.37