Finding the Third Proportional to 31,984 and 50,171

Step by Step Solution

1. Step 1: Write the proportion equation
   31,984 : 50,171 = 50,171 : x
2. Step 2: Convert to fraction form
   31,984/50,171 = 50,171/x
3. Step 3: Cross multiply
   31,984x = 50,171 × 50,171
4. Step 4: Simplify right side
   31,984x = 2,517,129,241
5. Step 5: Solve for x
   x = 2,517,129,241/31,984
6. Step 6: Final answer
   x = 78,699.64