Finding the Third Proportional to 33,665 and 52,812

Step by Step Solution

1. Step 1: Write the proportion equation
   33,665 : 52,812 = 52,812 : x
2. Step 2: Convert to fraction form
   33,665/52,812 = 52,812/x
3. Step 3: Cross multiply
   33,665x = 52,812 × 52,812
4. Step 4: Simplify right side
   33,665x = 2,789,107,344
5. Step 5: Solve for x
   x = 2,789,107,344/33,665
6. Step 6: Final answer
   x = 82,848.87