Finding the Third Proportional to 41,171 and 83,797

Step by Step Solution

1. Step 1: Write the proportion equation
   41,171 : 83,797 = 83,797 : x
2. Step 2: Convert to fraction form
   41,171/83,797 = 83,797/x
3. Step 3: Cross multiply
   41,171x = 83,797 × 83,797
4. Step 4: Simplify right side
   41,171x = 7,021,937,209
5. Step 5: Solve for x
   x = 7,021,937,209/41,171
6. Step 6: Final answer
   x = 170,555.42