Finding the Third Proportional to 31,966 and 50,146

Step by Step Solution

1. Step 1: Write the proportion equation
   31,966 : 50,146 = 50,146 : x
2. Step 2: Convert to fraction form
   31,966/50,146 = 50,146/x
3. Step 3: Cross multiply
   31,966x = 50,146 × 50,146
4. Step 4: Simplify right side
   31,966x = 2,514,621,316
5. Step 5: Solve for x
   x = 2,514,621,316/31,966
6. Step 6: Final answer
   x = 78,665.50