Finding the Third Proportional to 6,804 and 14,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,804 : 14,425.50 = 14,425.50 : x
2. Step 2: Convert to fraction form
   6,804/14,425.50 = 14,425.50/x
3. Step 3: Cross multiply
   6,804x = 14,425.50 × 14,425.50
4. Step 4: Simplify right side
   6,804x = 208,095,050.25
5. Step 5: Solve for x
   x = 208,095,050.25/6,804
6. Step 6: Final answer
   x = 30,584.22