Finding the Third Proportional to 3,896 and 5,996

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896 : 5,996 = 5,996 : x
2. Step 2: Convert to fraction form
   3,896/5,996 = 5,996/x
3. Step 3: Cross multiply
   3,896x = 5,996 × 5,996
4. Step 4: Simplify right side
   3,896x = 35,952,016
5. Step 5: Solve for x
   x = 35,952,016/3,896
6. Step 6: Final answer
   x = 9,227.93