Finding the Third Proportional to 33,330 and 53,005

Step by Step Solution

1. Step 1: Write the proportion equation
   33,330 : 53,005 = 53,005 : x
2. Step 2: Convert to fraction form
   33,330/53,005 = 53,005/x
3. Step 3: Cross multiply
   33,330x = 53,005 × 53,005
4. Step 4: Simplify right side
   33,330x = 2,809,530,025
5. Step 5: Solve for x
   x = 2,809,530,025/33,330
6. Step 6: Final answer
   x = 84,294.33