Finding the Third Proportional to 33,409 and 72,002

Step by Step Solution

1. Step 1: Write the proportion equation
   33,409 : 72,002 = 72,002 : x
2. Step 2: Convert to fraction form
   33,409/72,002 = 72,002/x
3. Step 3: Cross multiply
   33,409x = 72,002 × 72,002
4. Step 4: Simplify right side
   33,409x = 5,184,288,004
5. Step 5: Solve for x
   x = 5,184,288,004/33,409
6. Step 6: Final answer
   x = 155,176.39