Finding the Third Proportional to 33,393 and 52,005

Step by Step Solution

1. Step 1: Write the proportion equation
   33,393 : 52,005 = 52,005 : x
2. Step 2: Convert to fraction form
   33,393/52,005 = 52,005/x
3. Step 3: Cross multiply
   33,393x = 52,005 × 52,005
4. Step 4: Simplify right side
   33,393x = 2,704,520,025
5. Step 5: Solve for x
   x = 2,704,520,025/33,393
6. Step 6: Final answer
   x = 80,990.63