Finding the Third Proportional to 41,081.38 and 84,109.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,081.38 : 84,109.75 = 84,109.75 : x
2. Step 2: Convert to fraction form
   41,081.38/84,109.75 = 84,109.75/x
3. Step 3: Cross multiply
   41,081.38x = 84,109.75 × 84,109.75
4. Step 4: Simplify right side
   41,081.38x = 7,074,450,045.06
5. Step 5: Solve for x
   x = 7,074,450,045.06/41,081.38
6. Step 6: Final answer
   x = 172,205.78