Finding the Third Proportional to 31,972 and 50,155

Step by Step Solution

1. Step 1: Write the proportion equation
   31,972 : 50,155 = 50,155 : x
2. Step 2: Convert to fraction form
   31,972/50,155 = 50,155/x
3. Step 3: Cross multiply
   31,972x = 50,155 × 50,155
4. Step 4: Simplify right side
   31,972x = 2,515,524,025
5. Step 5: Solve for x
   x = 2,515,524,025/31,972
6. Step 6: Final answer
   x = 78,678.97