Finding the Third Proportional to 41,540 and 90,091

Step by Step Solution

1. Step 1: Write the proportion equation
   41,540 : 90,091 = 90,091 : x
2. Step 2: Convert to fraction form
   41,540/90,091 = 90,091/x
3. Step 3: Cross multiply
   41,540x = 90,091 × 90,091
4. Step 4: Simplify right side
   41,540x = 8,116,388,281
5. Step 5: Solve for x
   x = 8,116,388,281/41,540
6. Step 6: Final answer
   x = 195,387.30