Finding the Third Proportional to 31,728 and 47,222

Step by Step Solution

1. Step 1: Write the proportion equation
   31,728 : 47,222 = 47,222 : x
2. Step 2: Convert to fraction form
   31,728/47,222 = 47,222/x
3. Step 3: Cross multiply
   31,728x = 47,222 × 47,222
4. Step 4: Simplify right side
   31,728x = 2,229,917,284
5. Step 5: Solve for x
   x = 2,229,917,284/31,728
6. Step 6: Final answer
   x = 70,282.31