Finding the Third Proportional to 41,897 and 91,066

Step by Step Solution

1. Step 1: Write the proportion equation
   41,897 : 91,066 = 91,066 : x
2. Step 2: Convert to fraction form
   41,897/91,066 = 91,066/x
3. Step 3: Cross multiply
   41,897x = 91,066 × 91,066
4. Step 4: Simplify right side
   41,897x = 8,293,016,356
5. Step 5: Solve for x
   x = 8,293,016,356/41,897
6. Step 6: Final answer
   x = 197,938.19