Finding the Third Proportional to 3,605.25 and 7,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,605.25 : 7,729.50 = 7,729.50 : x
2. Step 2: Convert to fraction form
   3,605.25/7,729.50 = 7,729.50/x
3. Step 3: Cross multiply
   3,605.25x = 7,729.50 × 7,729.50
4. Step 4: Simplify right side
   3,605.25x = 59,745,170.25
5. Step 5: Solve for x
   x = 59,745,170.25/3,605.25
6. Step 6: Final answer
   x = 16,571.71