Finding the Third Proportional to 3,825 and 8,109.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825 : 8,109.56 = 8,109.56 : x
2. Step 2: Convert to fraction form
   3,825/8,109.56 = 8,109.56/x
3. Step 3: Cross multiply
   3,825x = 8,109.56 × 8,109.56
4. Step 4: Simplify right side
   3,825x = 65,765,003.94
5. Step 5: Solve for x
   x = 65,765,003.94/3,825
6. Step 6: Final answer
   x = 17,193.47