Finding the Third Proportional to 31,684 and 50,166

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684 : 50,166 = 50,166 : x
2. Step 2: Convert to fraction form
   31,684/50,166 = 50,166/x
3. Step 3: Cross multiply
   31,684x = 50,166 × 50,166
4. Step 4: Simplify right side
   31,684x = 2,516,627,556
5. Step 5: Solve for x
   x = 2,516,627,556/31,684
6. Step 6: Final answer
   x = 79,428.97