Finding the Third Proportional to 41,836.50 and 91,965.38

Step by Step Solution

1. Step 1: Write the proportion equation
   41,836.50 : 91,965.38 = 91,965.38 : x
2. Step 2: Convert to fraction form
   41,836.50/91,965.38 = 91,965.38/x
3. Step 3: Cross multiply
   41,836.50x = 91,965.38 × 91,965.38
4. Step 4: Simplify right side
   41,836.50x = 8,457,630,198.89
5. Step 5: Solve for x
   x = 8,457,630,198.89/41,836.50
6. Step 6: Final answer
   x = 202,159.12