Finding the Third Proportional to 31,969 and 50,149

Step by Step Solution

1. Step 1: Write the proportion equation
   31,969 : 50,149 = 50,149 : x
2. Step 2: Convert to fraction form
   31,969/50,149 = 50,149/x
3. Step 3: Cross multiply
   31,969x = 50,149 × 50,149
4. Step 4: Simplify right side
   31,969x = 2,514,922,201
5. Step 5: Solve for x
   x = 2,514,922,201/31,969
6. Step 6: Final answer
   x = 78,667.53