Finding the Third Proportional to 35,646 and 76,066

Step by Step Solution

1. Step 1: Write the proportion equation
   35,646 : 76,066 = 76,066 : x
2. Step 2: Convert to fraction form
   35,646/76,066 = 76,066/x
3. Step 3: Cross multiply
   35,646x = 76,066 × 76,066
4. Step 4: Simplify right side
   35,646x = 5,786,036,356
5. Step 5: Solve for x
   x = 5,786,036,356/35,646
6. Step 6: Final answer
   x = 162,319.37