Finding the Third Proportional to 33,022 and 71,308

Step by Step Solution

1. Step 1: Write the proportion equation
   33,022 : 71,308 = 71,308 : x
2. Step 2: Convert to fraction form
   33,022/71,308 = 71,308/x
3. Step 3: Cross multiply
   33,022x = 71,308 × 71,308
4. Step 4: Simplify right side
   33,022x = 5,084,830,864
5. Step 5: Solve for x
   x = 5,084,830,864/33,022
6. Step 6: Final answer
   x = 153,983.13