Finding the Third Proportional to 33,022 and 69,308

Step by Step Solution

1. Step 1: Write the proportion equation
   33,022 : 69,308 = 69,308 : x
2. Step 2: Convert to fraction form
   33,022/69,308 = 69,308/x
3. Step 3: Cross multiply
   33,022x = 69,308 × 69,308
4. Step 4: Simplify right side
   33,022x = 4,803,598,864
5. Step 5: Solve for x
   x = 4,803,598,864/33,022
6. Step 6: Final answer
   x = 145,466.62