Finding the Third Proportional to 31,724 and 49,401

Step by Step Solution

1. Step 1: Write the proportion equation
   31,724 : 49,401 = 49,401 : x
2. Step 2: Convert to fraction form
   31,724/49,401 = 49,401/x
3. Step 3: Cross multiply
   31,724x = 49,401 × 49,401
4. Step 4: Simplify right side
   31,724x = 2,440,458,801
5. Step 5: Solve for x
   x = 2,440,458,801/31,724
6. Step 6: Final answer
   x = 76,927.84