Finding the Third Proportional to 20,229 and 31,664

Step by Step Solution

1. Step 1: Write the proportion equation
   20,229 : 31,664 = 31,664 : x
2. Step 2: Convert to fraction form
   20,229/31,664 = 31,664/x
3. Step 3: Cross multiply
   20,229x = 31,664 × 31,664
4. Step 4: Simplify right side
   20,229x = 1,002,608,896
5. Step 5: Solve for x
   x = 1,002,608,896/20,229
6. Step 6: Final answer
   x = 49,562.95