Finding the Third Proportional to 31,967 and 50,147

Step by Step Solution

1. Step 1: Write the proportion equation
   31,967 : 50,147 = 50,147 : x
2. Step 2: Convert to fraction form
   31,967/50,147 = 50,147/x
3. Step 3: Cross multiply
   31,967x = 50,147 × 50,147
4. Step 4: Simplify right side
   31,967x = 2,514,721,609
5. Step 5: Solve for x
   x = 2,514,721,609/31,967
6. Step 6: Final answer
   x = 78,666.17