Finding the Third Proportional to 33,433 and 69,667

Step by Step Solution

1. Step 1: Write the proportion equation
   33,433 : 69,667 = 69,667 : x
2. Step 2: Convert to fraction form
   33,433/69,667 = 69,667/x
3. Step 3: Cross multiply
   33,433x = 69,667 × 69,667
4. Step 4: Simplify right side
   33,433x = 4,853,490,889
5. Step 5: Solve for x
   x = 4,853,490,889/33,433
6. Step 6: Final answer
   x = 145,170.67