Finding the Third Proportional to 32,512 and 71,792

Step by Step Solution

1. Step 1: Write the proportion equation
   32,512 : 71,792 = 71,792 : x
2. Step 2: Convert to fraction form
   32,512/71,792 = 71,792/x
3. Step 3: Cross multiply
   32,512x = 71,792 × 71,792
4. Step 4: Simplify right side
   32,512x = 5,154,091,264
5. Step 5: Solve for x
   x = 5,154,091,264/32,512
6. Step 6: Final answer
   x = 158,528.89