Finding the Third Proportional to 20,890 and 31,997

Step by Step Solution

1. Step 1: Write the proportion equation
   20,890 : 31,997 = 31,997 : x
2. Step 2: Convert to fraction form
   20,890/31,997 = 31,997/x
3. Step 3: Cross multiply
   20,890x = 31,997 × 31,997
4. Step 4: Simplify right side
   20,890x = 1,023,808,009
5. Step 5: Solve for x
   x = 1,023,808,009/20,890
6. Step 6: Final answer
   x = 49,009.48