Finding the Third Proportional to 35,034 and 76,022

Step by Step Solution

1. Step 1: Write the proportion equation
   35,034 : 76,022 = 76,022 : x
2. Step 2: Convert to fraction form
   35,034/76,022 = 76,022/x
3. Step 3: Cross multiply
   35,034x = 76,022 × 76,022
4. Step 4: Simplify right side
   35,034x = 5,779,344,484
5. Step 5: Solve for x
   x = 5,779,344,484/35,034
6. Step 6: Final answer
   x = 164,963.88