Finding the Third Proportional to 31,690 and 50,175

Step by Step Solution

1. Step 1: Write the proportion equation
   31,690 : 50,175 = 50,175 : x
2. Step 2: Convert to fraction form
   31,690/50,175 = 50,175/x
3. Step 3: Cross multiply
   31,690x = 50,175 × 50,175
4. Step 4: Simplify right side
   31,690x = 2,517,530,625
5. Step 5: Solve for x
   x = 2,517,530,625/31,690
6. Step 6: Final answer
   x = 79,442.43