Finding the Third Proportional to 31,923 and 49,001

Step by Step Solution

1. Step 1: Write the proportion equation
   31,923 : 49,001 = 49,001 : x
2. Step 2: Convert to fraction form
   31,923/49,001 = 49,001/x
3. Step 3: Cross multiply
   31,923x = 49,001 × 49,001
4. Step 4: Simplify right side
   31,923x = 2,401,098,001
5. Step 5: Solve for x
   x = 2,401,098,001/31,923
6. Step 6: Final answer
   x = 75,215.30