Finding the Third Proportional to 20,147 and 31,817

Step by Step Solution

1. Step 1: Write the proportion equation
   20,147 : 31,817 = 31,817 : x
2. Step 2: Convert to fraction form
   20,147/31,817 = 31,817/x
3. Step 3: Cross multiply
   20,147x = 31,817 × 31,817
4. Step 4: Simplify right side
   20,147x = 1,012,321,489
5. Step 5: Solve for x
   x = 1,012,321,489/20,147
6. Step 6: Final answer
   x = 50,246.76