Finding the Third Proportional to 6,804 and 16,633.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,804 : 16,633.69 = 16,633.69 : x
2. Step 2: Convert to fraction form
   6,804/16,633.69 = 16,633.69/x
3. Step 3: Cross multiply
   6,804x = 16,633.69 × 16,633.69
4. Step 4: Simplify right side
   6,804x = 276,679,559.85
5. Step 5: Solve for x
   x = 276,679,559.85/6,804
6. Step 6: Final answer
   x = 40,664.25