Finding the Third Proportional to 35,022 and 74,958

Step by Step Solution

1. Step 1: Write the proportion equation
   35,022 : 74,958 = 74,958 : x
2. Step 2: Convert to fraction form
   35,022/74,958 = 74,958/x
3. Step 3: Cross multiply
   35,022x = 74,958 × 74,958
4. Step 4: Simplify right side
   35,022x = 5,618,701,764
5. Step 5: Solve for x
   x = 5,618,701,764/35,022
6. Step 6: Final answer
   x = 160,433.49