Finding the Third Proportional to 20,735 and 31,874

Step by Step Solution

1. Step 1: Write the proportion equation
   20,735 : 31,874 = 31,874 : x
2. Step 2: Convert to fraction form
   20,735/31,874 = 31,874/x
3. Step 3: Cross multiply
   20,735x = 31,874 × 31,874
4. Step 4: Simplify right side
   20,735x = 1,015,951,876
5. Step 5: Solve for x
   x = 1,015,951,876/20,735
6. Step 6: Final answer
   x = 48,996.96