Finding the Third Proportional to 32,144 and 69,792

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 69,792 = 69,792 : x
2. Step 2: Convert to fraction form
   32,144/69,792 = 69,792/x
3. Step 3: Cross multiply
   32,144x = 69,792 × 69,792
4. Step 4: Simplify right side
   32,144x = 4,870,923,264
5. Step 5: Solve for x
   x = 4,870,923,264/32,144
6. Step 6: Final answer
   x = 151,534.45