Finding the Third Proportional to 6,822 and 10,009

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822 : 10,009 = 10,009 : x
2. Step 2: Convert to fraction form
   6,822/10,009 = 10,009/x
3. Step 3: Cross multiply
   6,822x = 10,009 × 10,009
4. Step 4: Simplify right side
   6,822x = 100,180,081
5. Step 5: Solve for x
   x = 100,180,081/6,822
6. Step 6: Final answer
   x = 14,684.86