Finding the Third Proportional to 41,691.75 and 91,169.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,691.75 : 91,169.25 = 91,169.25 : x
2. Step 2: Convert to fraction form
   41,691.75/91,169.25 = 91,169.25/x
3. Step 3: Cross multiply
   41,691.75x = 91,169.25 × 91,169.25
4. Step 4: Simplify right side
   41,691.75x = 8,311,832,145.56
5. Step 5: Solve for x
   x = 8,311,832,145.56/41,691.75
6. Step 6: Final answer
   x = 199,363.95