Finding the Third Proportional to 31,686 and 50,169

Step by Step Solution

1. Step 1: Write the proportion equation
   31,686 : 50,169 = 50,169 : x
2. Step 2: Convert to fraction form
   31,686/50,169 = 50,169/x
3. Step 3: Cross multiply
   31,686x = 50,169 × 50,169
4. Step 4: Simplify right side
   31,686x = 2,516,928,561
5. Step 5: Solve for x
   x = 2,516,928,561/31,686
6. Step 6: Final answer
   x = 79,433.46