Finding the Third Proportional to 33,034 and 72,022

Step by Step Solution

1. Step 1: Write the proportion equation
   33,034 : 72,022 = 72,022 : x
2. Step 2: Convert to fraction form
   33,034/72,022 = 72,022/x
3. Step 3: Cross multiply
   33,034x = 72,022 × 72,022
4. Step 4: Simplify right side
   33,034x = 5,187,168,484
5. Step 5: Solve for x
   x = 5,187,168,484/33,034
6. Step 6: Final answer
   x = 157,025.14