Finding the Third Proportional to 33,022 and 72,062

Step by Step Solution

1. Step 1: Write the proportion equation
   33,022 : 72,062 = 72,062 : x
2. Step 2: Convert to fraction form
   33,022/72,062 = 72,062/x
3. Step 3: Cross multiply
   33,022x = 72,062 × 72,062
4. Step 4: Simplify right side
   33,022x = 5,192,931,844
5. Step 5: Solve for x
   x = 5,192,931,844/33,022
6. Step 6: Final answer
   x = 157,256.73