Finding the Third Proportional to 31,951 and 50,019

Step by Step Solution

1. Step 1: Write the proportion equation
   31,951 : 50,019 = 50,019 : x
2. Step 2: Convert to fraction form
   31,951/50,019 = 50,019/x
3. Step 3: Cross multiply
   31,951x = 50,019 × 50,019
4. Step 4: Simplify right side
   31,951x = 2,501,900,361
5. Step 5: Solve for x
   x = 2,501,900,361/31,951
6. Step 6: Final answer
   x = 78,304.29