Finding the Third Proportional to 20,131 and 31,924

Step by Step Solution

1. Step 1: Write the proportion equation
   20,131 : 31,924 = 31,924 : x
2. Step 2: Convert to fraction form
   20,131/31,924 = 31,924/x
3. Step 3: Cross multiply
   20,131x = 31,924 × 31,924
4. Step 4: Simplify right side
   20,131x = 1,019,141,776
5. Step 5: Solve for x
   x = 1,019,141,776/20,131
6. Step 6: Final answer
   x = 50,625.49