Finding the Third Proportional to 32,883 and 71,022

Step by Step Solution

1. Step 1: Write the proportion equation
   32,883 : 71,022 = 71,022 : x
2. Step 2: Convert to fraction form
   32,883/71,022 = 71,022/x
3. Step 3: Cross multiply
   32,883x = 71,022 × 71,022
4. Step 4: Simplify right side
   32,883x = 5,044,124,484
5. Step 5: Solve for x
   x = 5,044,124,484/32,883
6. Step 6: Final answer
   x = 153,396.12