Finding the Third Proportional to 21,422 and 31,941

Step by Step Solution

1. Step 1: Write the proportion equation
   21,422 : 31,941 = 31,941 : x
2. Step 2: Convert to fraction form
   21,422/31,941 = 31,941/x
3. Step 3: Cross multiply
   21,422x = 31,941 × 31,941
4. Step 4: Simplify right side
   21,422x = 1,020,227,481
5. Step 5: Solve for x
   x = 1,020,227,481/21,422
6. Step 6: Final answer
   x = 47,625.22