Finding the Third Proportional to 20,262 and 31,714

Step by Step Solution

1. Step 1: Write the proportion equation
   20,262 : 31,714 = 31,714 : x
2. Step 2: Convert to fraction form
   20,262/31,714 = 31,714/x
3. Step 3: Cross multiply
   20,262x = 31,714 × 31,714
4. Step 4: Simplify right side
   20,262x = 1,005,777,796
5. Step 5: Solve for x
   x = 1,005,777,796/20,262
6. Step 6: Final answer
   x = 49,638.62