Finding the Third Proportional to 19,702 and 41,066

Step by Step Solution

1. Step 1: Write the proportion equation
   19,702 : 41,066 = 41,066 : x
2. Step 2: Convert to fraction form
   19,702/41,066 = 41,066/x
3. Step 3: Cross multiply
   19,702x = 41,066 × 41,066
4. Step 4: Simplify right side
   19,702x = 1,686,416,356
5. Step 5: Solve for x
   x = 1,686,416,356/19,702
6. Step 6: Final answer
   x = 85,596.20