Finding the Third Proportional to 31,169 and 41,771

Step by Step Solution

1. Step 1: Write the proportion equation
   31,169 : 41,771 = 41,771 : x
2. Step 2: Convert to fraction form
   31,169/41,771 = 41,771/x
3. Step 3: Cross multiply
   31,169x = 41,771 × 41,771
4. Step 4: Simplify right side
   31,169x = 1,744,816,441
5. Step 5: Solve for x
   x = 1,744,816,441/31,169
6. Step 6: Final answer
   x = 55,979.22