Finding the Third Proportional to 27,728 and 43,096

Step by Step Solution

1. Step 1: Write the proportion equation
   27,728 : 43,096 = 43,096 : x
2. Step 2: Convert to fraction form
   27,728/43,096 = 43,096/x
3. Step 3: Cross multiply
   27,728x = 43,096 × 43,096
4. Step 4: Simplify right side
   27,728x = 1,857,265,216
5. Step 5: Solve for x
   x = 1,857,265,216/27,728
6. Step 6: Final answer
   x = 66,981.58