Finding the Third Proportional to 33,036 and 72,026

Step by Step Solution

1. Step 1: Write the proportion equation
   33,036 : 72,026 = 72,026 : x
2. Step 2: Convert to fraction form
   33,036/72,026 = 72,026/x
3. Step 3: Cross multiply
   33,036x = 72,026 × 72,026
4. Step 4: Simplify right side
   33,036x = 5,187,744,676
5. Step 5: Solve for x
   x = 5,187,744,676/33,036
6. Step 6: Final answer
   x = 157,033.08