Finding the Third Proportional to 42,048 and 91,728

Step by Step Solution

1. Step 1: Write the proportion equation
   42,048 : 91,728 = 91,728 : x
2. Step 2: Convert to fraction form
   42,048/91,728 = 91,728/x
3. Step 3: Cross multiply
   42,048x = 91,728 × 91,728
4. Step 4: Simplify right side
   42,048x = 8,414,025,984
5. Step 5: Solve for x
   x = 8,414,025,984/42,048
6. Step 6: Final answer
   x = 200,105.26