Finding the Third Proportional to 20,766 and 31,797

Step by Step Solution

1. Step 1: Write the proportion equation
   20,766 : 31,797 = 31,797 : x
2. Step 2: Convert to fraction form
   20,766/31,797 = 31,797/x
3. Step 3: Cross multiply
   20,766x = 31,797 × 31,797
4. Step 4: Simplify right side
   20,766x = 1,011,049,209
5. Step 5: Solve for x
   x = 1,011,049,209/20,766
6. Step 6: Final answer
   x = 48,687.72