Finding the Third Proportional to 6,804 and 12,150

Step by Step Solution

1. Step 1: Write the proportion equation
   6,804 : 12,150 = 12,150 : x
2. Step 2: Convert to fraction form
   6,804/12,150 = 12,150/x
3. Step 3: Cross multiply
   6,804x = 12,150 × 12,150
4. Step 4: Simplify right side
   6,804x = 147,622,500
5. Step 5: Solve for x
   x = 147,622,500/6,804
6. Step 6: Final answer
   x = 21,696.43