Finding the Third Proportional to 35,992 and 84,066

Step by Step Solution

1. Step 1: Write the proportion equation
   35,992 : 84,066 = 84,066 : x
2. Step 2: Convert to fraction form
   35,992/84,066 = 84,066/x
3. Step 3: Cross multiply
   35,992x = 84,066 × 84,066
4. Step 4: Simplify right side
   35,992x = 7,067,092,356
5. Step 5: Solve for x
   x = 7,067,092,356/35,992
6. Step 6: Final answer
   x = 196,351.75