Finding the Third Proportional to 30,728 and 71,956

Step by Step Solution

1. Step 1: Write the proportion equation
   30,728 : 71,956 = 71,956 : x
2. Step 2: Convert to fraction form
   30,728/71,956 = 71,956/x
3. Step 3: Cross multiply
   30,728x = 71,956 × 71,956
4. Step 4: Simplify right side
   30,728x = 5,177,665,936
5. Step 5: Solve for x
   x = 5,177,665,936/30,728
6. Step 6: Final answer
   x = 168,499.93