Finding the Third Proportional to 20,896 and 31,728

Step by Step Solution

1. Step 1: Write the proportion equation
   20,896 : 31,728 = 31,728 : x
2. Step 2: Convert to fraction form
   20,896/31,728 = 31,728/x
3. Step 3: Cross multiply
   20,896x = 31,728 × 31,728
4. Step 4: Simplify right side
   20,896x = 1,006,665,984
5. Step 5: Solve for x
   x = 1,006,665,984/20,896
6. Step 6: Final answer
   x = 48,175.06