Finding the Third Proportional to 20,414 and 30,891

Step by Step Solution

1. Step 1: Write the proportion equation
   20,414 : 30,891 = 30,891 : x
2. Step 2: Convert to fraction form
   20,414/30,891 = 30,891/x
3. Step 3: Cross multiply
   20,414x = 30,891 × 30,891
4. Step 4: Simplify right side
   20,414x = 954,253,881
5. Step 5: Solve for x
   x = 954,253,881/20,414
6. Step 6: Final answer
   x = 46,745.07