Finding the Third Proportional to 31,966 and 50,041

Step by Step Solution

1. Step 1: Write the proportion equation
   31,966 : 50,041 = 50,041 : x
2. Step 2: Convert to fraction form
   31,966/50,041 = 50,041/x
3. Step 3: Cross multiply
   31,966x = 50,041 × 50,041
4. Step 4: Simplify right side
   31,966x = 2,504,101,681
5. Step 5: Solve for x
   x = 2,504,101,681/31,966
6. Step 6: Final answer
   x = 78,336.41