Finding the Third Proportional to 32,941 and 72,033

Step by Step Solution

1. Step 1: Write the proportion equation
   32,941 : 72,033 = 72,033 : x
2. Step 2: Convert to fraction form
   32,941/72,033 = 72,033/x
3. Step 3: Cross multiply
   32,941x = 72,033 × 72,033
4. Step 4: Simplify right side
   32,941x = 5,188,753,089
5. Step 5: Solve for x
   x = 5,188,753,089/32,941
6. Step 6: Final answer
   x = 157,516.56