Finding the Third Proportional to 31,980 and 50,057

Step by Step Solution

1. Step 1: Write the proportion equation
   31,980 : 50,057 = 50,057 : x
2. Step 2: Convert to fraction form
   31,980/50,057 = 50,057/x
3. Step 3: Cross multiply
   31,980x = 50,057 × 50,057
4. Step 4: Simplify right side
   31,980x = 2,505,703,249
5. Step 5: Solve for x
   x = 2,505,703,249/31,980
6. Step 6: Final answer
   x = 78,352.20