Finding the Third Proportional to 33,040 and 72,034

Step by Step Solution

1. Step 1: Write the proportion equation
   33,040 : 72,034 = 72,034 : x
2. Step 2: Convert to fraction form
   33,040/72,034 = 72,034/x
3. Step 3: Cross multiply
   33,040x = 72,034 × 72,034
4. Step 4: Simplify right side
   33,040x = 5,188,897,156
5. Step 5: Solve for x
   x = 5,188,897,156/33,040
6. Step 6: Final answer
   x = 157,048.95