Finding the Third Proportional to 33,706 and 73,002

Step by Step Solution

1. Step 1: Write the proportion equation
   33,706 : 73,002 = 73,002 : x
2. Step 2: Convert to fraction form
   33,706/73,002 = 73,002/x
3. Step 3: Cross multiply
   33,706x = 73,002 × 73,002
4. Step 4: Simplify right side
   33,706x = 5,329,292,004
5. Step 5: Solve for x
   x = 5,329,292,004/33,706
6. Step 6: Final answer
   x = 158,111.08