Finding the Third Proportional to 37,144 and 75,728

Step by Step Solution

1. Step 1: Write the proportion equation
   37,144 : 75,728 = 75,728 : x
2. Step 2: Convert to fraction form
   37,144/75,728 = 75,728/x
3. Step 3: Cross multiply
   37,144x = 75,728 × 75,728
4. Step 4: Simplify right side
   37,144x = 5,734,729,984
5. Step 5: Solve for x
   x = 5,734,729,984/37,144
6. Step 6: Final answer
   x = 154,391.83