Finding the Third Proportional to 32,533 and 71,016

Step by Step Solution

1. Step 1: Write the proportion equation
   32,533 : 71,016 = 71,016 : x
2. Step 2: Convert to fraction form
   32,533/71,016 = 71,016/x
3. Step 3: Cross multiply
   32,533x = 71,016 × 71,016
4. Step 4: Simplify right side
   32,533x = 5,043,272,256
5. Step 5: Solve for x
   x = 5,043,272,256/32,533
6. Step 6: Final answer
   x = 155,020.20