Finding the Third Proportional to 33,048 and 69,864

Step by Step Solution

1. Step 1: Write the proportion equation
   33,048 : 69,864 = 69,864 : x
2. Step 2: Convert to fraction form
   33,048/69,864 = 69,864/x
3. Step 3: Cross multiply
   33,048x = 69,864 × 69,864
4. Step 4: Simplify right side
   33,048x = 4,880,978,496
5. Step 5: Solve for x
   x = 4,880,978,496/33,048
6. Step 6: Final answer
   x = 147,693.61