Finding the Third Proportional to 20,204 and 31,012

Step by Step Solution

1. Step 1: Write the proportion equation
   20,204 : 31,012 = 31,012 : x
2. Step 2: Convert to fraction form
   20,204/31,012 = 31,012/x
3. Step 3: Cross multiply
   20,204x = 31,012 × 31,012
4. Step 4: Simplify right side
   20,204x = 961,744,144
5. Step 5: Solve for x
   x = 961,744,144/20,204
6. Step 6: Final answer
   x = 47,601.67