Finding the Third Proportional to 6,684 and 12,036

Step by Step Solution

1. Step 1: Write the proportion equation
   6,684 : 12,036 = 12,036 : x
2. Step 2: Convert to fraction form
   6,684/12,036 = 12,036/x
3. Step 3: Cross multiply
   6,684x = 12,036 × 12,036
4. Step 4: Simplify right side
   6,684x = 144,865,296
5. Step 5: Solve for x
   x = 144,865,296/6,684
6. Step 6: Final answer
   x = 21,673.44