Finding the Third Proportional to 31,728 and 65,376

Step by Step Solution

1. Step 1: Write the proportion equation
   31,728 : 65,376 = 65,376 : x
2. Step 2: Convert to fraction form
   31,728/65,376 = 65,376/x
3. Step 3: Cross multiply
   31,728x = 65,376 × 65,376
4. Step 4: Simplify right side
   31,728x = 4,274,021,376
5. Step 5: Solve for x
   x = 4,274,021,376/31,728
6. Step 6: Final answer
   x = 134,708.19