Finding the Third Proportional to 31,991 and 50,619

Step by Step Solution

1. Step 1: Write the proportion equation
   31,991 : 50,619 = 50,619 : x
2. Step 2: Convert to fraction form
   31,991/50,619 = 50,619/x
3. Step 3: Cross multiply
   31,991x = 50,619 × 50,619
4. Step 4: Simplify right side
   31,991x = 2,562,283,161
5. Step 5: Solve for x
   x = 2,562,283,161/31,991
6. Step 6: Final answer
   x = 80,093.88