Finding the Third Proportional to 6,780 and 12,084

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780 : 12,084 = 12,084 : x
2. Step 2: Convert to fraction form
   6,780/12,084 = 12,084/x
3. Step 3: Cross multiply
   6,780x = 12,084 × 12,084
4. Step 4: Simplify right side
   6,780x = 146,023,056
5. Step 5: Solve for x
   x = 146,023,056/6,780
6. Step 6: Final answer
   x = 21,537.32