Finding the Third Proportional to 19,734 and 31,401

Step by Step Solution

1. Step 1: Write the proportion equation
   19,734 : 31,401 = 31,401 : x
2. Step 2: Convert to fraction form
   19,734/31,401 = 31,401/x
3. Step 3: Cross multiply
   19,734x = 31,401 × 31,401
4. Step 4: Simplify right side
   19,734x = 986,022,801
5. Step 5: Solve for x
   x = 986,022,801/19,734
6. Step 6: Final answer
   x = 49,965.68