Finding the Third Proportional to 21,802 and 31,924

Step by Step Solution

1. Step 1: Write the proportion equation
   21,802 : 31,924 = 31,924 : x
2. Step 2: Convert to fraction form
   21,802/31,924 = 31,924/x
3. Step 3: Cross multiply
   21,802x = 31,924 × 31,924
4. Step 4: Simplify right side
   21,802x = 1,019,141,776
5. Step 5: Solve for x
   x = 1,019,141,776/21,802
6. Step 6: Final answer
   x = 46,745.33