Finding the Third Proportional to 33,164 and 52,512

Step by Step Solution

1. Step 1: Write the proportion equation
   33,164 : 52,512 = 52,512 : x
2. Step 2: Convert to fraction form
   33,164/52,512 = 52,512/x
3. Step 3: Cross multiply
   33,164x = 52,512 × 52,512
4. Step 4: Simplify right side
   33,164x = 2,757,510,144
5. Step 5: Solve for x
   x = 2,757,510,144/33,164
6. Step 6: Final answer
   x = 83,147.69