Finding the Third Proportional to 8,009 and 12,727

Step by Step Solution

1. Step 1: Write the proportion equation
   8,009 : 12,727 = 12,727 : x
2. Step 2: Convert to fraction form
   8,009/12,727 = 12,727/x
3. Step 3: Cross multiply
   8,009x = 12,727 × 12,727
4. Step 4: Simplify right side
   8,009x = 161,976,529
5. Step 5: Solve for x
   x = 161,976,529/8,009
6. Step 6: Final answer
   x = 20,224.31