Finding the Third Proportional to 20,812 and 31,914

Step by Step Solution

1. Step 1: Write the proportion equation
   20,812 : 31,914 = 31,914 : x
2. Step 2: Convert to fraction form
   20,812/31,914 = 31,914/x
3. Step 3: Cross multiply
   20,812x = 31,914 × 31,914
4. Step 4: Simplify right side
   20,812x = 1,018,503,396
5. Step 5: Solve for x
   x = 1,018,503,396/20,812
6. Step 6: Final answer
   x = 48,938.28