Finding the Third Proportional to 33,086 and 72,004

Step by Step Solution

1. Step 1: Write the proportion equation
   33,086 : 72,004 = 72,004 : x
2. Step 2: Convert to fraction form
   33,086/72,004 = 72,004/x
3. Step 3: Cross multiply
   33,086x = 72,004 × 72,004
4. Step 4: Simplify right side
   33,086x = 5,184,576,016
5. Step 5: Solve for x
   x = 5,184,576,016/33,086
6. Step 6: Final answer
   x = 156,699.99