Finding the Third Proportional to 3,809.25 and 7,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,809.25 : 7,723.50 = 7,723.50 : x
2. Step 2: Convert to fraction form
   3,809.25/7,723.50 = 7,723.50/x
3. Step 3: Cross multiply
   3,809.25x = 7,723.50 × 7,723.50
4. Step 4: Simplify right side
   3,809.25x = 59,652,452.25
5. Step 5: Solve for x
   x = 59,652,452.25/3,809.25
6. Step 6: Final answer
   x = 15,659.89