Finding the Third Proportional to 33,435 and 69,669

Step by Step Solution

1. Step 1: Write the proportion equation
   33,435 : 69,669 = 69,669 : x
2. Step 2: Convert to fraction form
   33,435/69,669 = 69,669/x
3. Step 3: Cross multiply
   33,435x = 69,669 × 69,669
4. Step 4: Simplify right side
   33,435x = 4,853,769,561
5. Step 5: Solve for x
   x = 4,853,769,561/33,435
6. Step 6: Final answer
   x = 145,170.32