Finding the Third Proportional to 30,678 and 65,728

Step by Step Solution

1. Step 1: Write the proportion equation
   30,678 : 65,728 = 65,728 : x
2. Step 2: Convert to fraction form
   30,678/65,728 = 65,728/x
3. Step 3: Cross multiply
   30,678x = 65,728 × 65,728
4. Step 4: Simplify right side
   30,678x = 4,320,169,984
5. Step 5: Solve for x
   x = 4,320,169,984/30,678
6. Step 6: Final answer
   x = 140,823.06