Finding the Third Proportional to 3,809 and 5,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,809 : 5,665.50 = 5,665.50 : x
2. Step 2: Convert to fraction form
   3,809/5,665.50 = 5,665.50/x
3. Step 3: Cross multiply
   3,809x = 5,665.50 × 5,665.50
4. Step 4: Simplify right side
   3,809x = 32,097,890.25
5. Step 5: Solve for x
   x = 32,097,890.25/3,809
6. Step 6: Final answer
   x = 8,426.85