Finding the Third Proportional to 41,613 and 91,011

Step by Step Solution

1. Step 1: Write the proportion equation
   41,613 : 91,011 = 91,011 : x
2. Step 2: Convert to fraction form
   41,613/91,011 = 91,011/x
3. Step 3: Cross multiply
   41,613x = 91,011 × 91,011
4. Step 4: Simplify right side
   41,613x = 8,283,002,121
5. Step 5: Solve for x
   x = 8,283,002,121/41,613
6. Step 6: Final answer
   x = 199,048.43