Finding the Third Proportional to 31,764 and 46,728

Step by Step Solution

1. Step 1: Write the proportion equation
   31,764 : 46,728 = 46,728 : x
2. Step 2: Convert to fraction form
   31,764/46,728 = 46,728/x
3. Step 3: Cross multiply
   31,764x = 46,728 × 46,728
4. Step 4: Simplify right side
   31,764x = 2,183,505,984
5. Step 5: Solve for x
   x = 2,183,505,984/31,764
6. Step 6: Final answer
   x = 68,741.53