Finding the Third Proportional to 6,804 and 13,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,804 : 13,729.50 = 13,729.50 : x
2. Step 2: Convert to fraction form
   6,804/13,729.50 = 13,729.50/x
3. Step 3: Cross multiply
   6,804x = 13,729.50 × 13,729.50
4. Step 4: Simplify right side
   6,804x = 188,499,170.25
5. Step 5: Solve for x
   x = 188,499,170.25/6,804
6. Step 6: Final answer
   x = 27,704.17