Finding the Third Proportional to 3,848 and 5,636

Step by Step Solution

1. Step 1: Write the proportion equation
   3,848 : 5,636 = 5,636 : x
2. Step 2: Convert to fraction form
   3,848/5,636 = 5,636/x
3. Step 3: Cross multiply
   3,848x = 5,636 × 5,636
4. Step 4: Simplify right side
   3,848x = 31,764,496
5. Step 5: Solve for x
   x = 31,764,496/3,848
6. Step 6: Final answer
   x = 8,254.81