Finding the Third Proportional to 32,144 and 71,170

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 71,170 = 71,170 : x
2. Step 2: Convert to fraction form
   32,144/71,170 = 71,170/x
3. Step 3: Cross multiply
   32,144x = 71,170 × 71,170
4. Step 4: Simplify right side
   32,144x = 5,065,168,900
5. Step 5: Solve for x
   x = 5,065,168,900/32,144
6. Step 6: Final answer
   x = 157,577.43