Finding the Third Proportional to 32,912 and 71,004

Step by Step Solution

1. Step 1: Write the proportion equation
   32,912 : 71,004 = 71,004 : x
2. Step 2: Convert to fraction form
   32,912/71,004 = 71,004/x
3. Step 3: Cross multiply
   32,912x = 71,004 × 71,004
4. Step 4: Simplify right side
   32,912x = 5,041,568,016
5. Step 5: Solve for x
   x = 5,041,568,016/32,912
6. Step 6: Final answer
   x = 153,183.28