Finding the Third Proportional to 32,159 and 71,770

Step by Step Solution

1. Step 1: Write the proportion equation
   32,159 : 71,770 = 71,770 : x
2. Step 2: Convert to fraction form
   32,159/71,770 = 71,770/x
3. Step 3: Cross multiply
   32,159x = 71,770 × 71,770
4. Step 4: Simplify right side
   32,159x = 5,150,932,900
5. Step 5: Solve for x
   x = 5,150,932,900/32,159
6. Step 6: Final answer
   x = 160,170.80