Finding the Third Proportional to 21,446 and 31,749

Step by Step Solution

1. Step 1: Write the proportion equation
   21,446 : 31,749 = 31,749 : x
2. Step 2: Convert to fraction form
   21,446/31,749 = 31,749/x
3. Step 3: Cross multiply
   21,446x = 31,749 × 31,749
4. Step 4: Simplify right side
   21,446x = 1,007,999,001
5. Step 5: Solve for x
   x = 1,007,999,001/21,446
6. Step 6: Final answer
   x = 47,001.73