Finding the Third Proportional to 33,120 and 50,004

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 50,004 = 50,004 : x
2. Step 2: Convert to fraction form
   33,120/50,004 = 50,004/x
3. Step 3: Cross multiply
   33,120x = 50,004 × 50,004
4. Step 4: Simplify right side
   33,120x = 2,500,400,016
5. Step 5: Solve for x
   x = 2,500,400,016/33,120
6. Step 6: Final answer
   x = 75,495.17