Finding the Third Proportional to 41,661 and 84,870

Step by Step Solution

1. Step 1: Write the proportion equation
   41,661 : 84,870 = 84,870 : x
2. Step 2: Convert to fraction form
   41,661/84,870 = 84,870/x
3. Step 3: Cross multiply
   41,661x = 84,870 × 84,870
4. Step 4: Simplify right side
   41,661x = 7,202,916,900
5. Step 5: Solve for x
   x = 7,202,916,900/41,661
6. Step 6: Final answer
   x = 172,893.52