Finding the Third Proportional to 21,746 and 31,981

Step by Step Solution

1. Step 1: Write the proportion equation
   21,746 : 31,981 = 31,981 : x
2. Step 2: Convert to fraction form
   21,746/31,981 = 31,981/x
3. Step 3: Cross multiply
   21,746x = 31,981 × 31,981
4. Step 4: Simplify right side
   21,746x = 1,022,784,361
5. Step 5: Solve for x
   x = 1,022,784,361/21,746
6. Step 6: Final answer
   x = 47,033.22