Finding the Third Proportional to 41,170 and 83,795

Step by Step Solution

1. Step 1: Write the proportion equation
   41,170 : 83,795 = 83,795 : x
2. Step 2: Convert to fraction form
   41,170/83,795 = 83,795/x
3. Step 3: Cross multiply
   41,170x = 83,795 × 83,795
4. Step 4: Simplify right side
   41,170x = 7,021,602,025
5. Step 5: Solve for x
   x = 7,021,602,025/41,170
6. Step 6: Final answer
   x = 170,551.42