Finding the Third Proportional to 31,690 and 50,176

Step by Step Solution

1. Step 1: Write the proportion equation
   31,690 : 50,176 = 50,176 : x
2. Step 2: Convert to fraction form
   31,690/50,176 = 50,176/x
3. Step 3: Cross multiply
   31,690x = 50,176 × 50,176
4. Step 4: Simplify right side
   31,690x = 2,517,630,976
5. Step 5: Solve for x
   x = 2,517,630,976/31,690
6. Step 6: Final answer
   x = 79,445.60