Finding the Third Proportional to 32,022 and 51,452

Step by Step Solution

1. Step 1: Write the proportion equation
   32,022 : 51,452 = 51,452 : x
2. Step 2: Convert to fraction form
   32,022/51,452 = 51,452/x
3. Step 3: Cross multiply
   32,022x = 51,452 × 51,452
4. Step 4: Simplify right side
   32,022x = 2,647,308,304
5. Step 5: Solve for x
   x = 2,647,308,304/32,022
6. Step 6: Final answer
   x = 82,671.55