Finding the Third Proportional to 33,084 and 69,570

Step by Step Solution

1. Step 1: Write the proportion equation
   33,084 : 69,570 = 69,570 : x
2. Step 2: Convert to fraction form
   33,084/69,570 = 69,570/x
3. Step 3: Cross multiply
   33,084x = 69,570 × 69,570
4. Step 4: Simplify right side
   33,084x = 4,839,984,900
5. Step 5: Solve for x
   x = 4,839,984,900/33,084
6. Step 6: Final answer
   x = 146,293.82