Finding the Third Proportional to 32,144 and 67,792

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 67,792 = 67,792 : x
2. Step 2: Convert to fraction form
   32,144/67,792 = 67,792/x
3. Step 3: Cross multiply
   32,144x = 67,792 × 67,792
4. Step 4: Simplify right side
   32,144x = 4,595,755,264
5. Step 5: Solve for x
   x = 4,595,755,264/32,144
6. Step 6: Final answer
   x = 142,973.97