Finding the Third Proportional to 33,002 and 73,364

Step by Step Solution

1. Step 1: Write the proportion equation
   33,002 : 73,364 = 73,364 : x
2. Step 2: Convert to fraction form
   33,002/73,364 = 73,364/x
3. Step 3: Cross multiply
   33,002x = 73,364 × 73,364
4. Step 4: Simplify right side
   33,002x = 5,382,276,496
5. Step 5: Solve for x
   x = 5,382,276,496/33,002
6. Step 6: Final answer
   x = 163,089.40