Finding the Third Proportional to 31,669 and 50,142

Step by Step Solution

1. Step 1: Write the proportion equation
   31,669 : 50,142 = 50,142 : x
2. Step 2: Convert to fraction form
   31,669/50,142 = 50,142/x
3. Step 3: Cross multiply
   31,669x = 50,142 × 50,142
4. Step 4: Simplify right side
   31,669x = 2,514,220,164
5. Step 5: Solve for x
   x = 2,514,220,164/31,669
6. Step 6: Final answer
   x = 79,390.58