Finding the Third Proportional to 35,389 and 77,022

Step by Step Solution

1. Step 1: Write the proportion equation
   35,389 : 77,022 = 77,022 : x
2. Step 2: Convert to fraction form
   35,389/77,022 = 77,022/x
3. Step 3: Cross multiply
   35,389x = 77,022 × 77,022
4. Step 4: Simplify right side
   35,389x = 5,932,388,484
5. Step 5: Solve for x
   x = 5,932,388,484/35,389
6. Step 6: Final answer
   x = 167,633.69