Finding the Third Proportional to 35,066 and 76,466

Step by Step Solution

1. Step 1: Write the proportion equation
   35,066 : 76,466 = 76,466 : x
2. Step 2: Convert to fraction form
   35,066/76,466 = 76,466/x
3. Step 3: Cross multiply
   35,066x = 76,466 × 76,466
4. Step 4: Simplify right side
   35,066x = 5,847,049,156
5. Step 5: Solve for x
   x = 5,847,049,156/35,066
6. Step 6: Final answer
   x = 166,744.12