Finding the Third Proportional to 31,728 and 67,032

Step by Step Solution

1. Step 1: Write the proportion equation
   31,728 : 67,032 = 67,032 : x
2. Step 2: Convert to fraction form
   31,728/67,032 = 67,032/x
3. Step 3: Cross multiply
   31,728x = 67,032 × 67,032
4. Step 4: Simplify right side
   31,728x = 4,493,289,024
5. Step 5: Solve for x
   x = 4,493,289,024/31,728
6. Step 6: Final answer
   x = 141,619.04