Finding the Third Proportional to 32,022 and 67,284

Step by Step Solution

1. Step 1: Write the proportion equation
   32,022 : 67,284 = 67,284 : x
2. Step 2: Convert to fraction form
   32,022/67,284 = 67,284/x
3. Step 3: Cross multiply
   32,022x = 67,284 × 67,284
4. Step 4: Simplify right side
   32,022x = 4,527,136,656
5. Step 5: Solve for x
   x = 4,527,136,656/32,022
6. Step 6: Final answer
   x = 141,375.82