Finding the Third Proportional to 20,797 and 31,985

Step by Step Solution

1. Step 1: Write the proportion equation
   20,797 : 31,985 = 31,985 : x
2. Step 2: Convert to fraction form
   20,797/31,985 = 31,985/x
3. Step 3: Cross multiply
   20,797x = 31,985 × 31,985
4. Step 4: Simplify right side
   20,797x = 1,023,040,225
5. Step 5: Solve for x
   x = 1,023,040,225/20,797
6. Step 6: Final answer
   x = 49,191.72