Finding the Third Proportional to 33,644 and 52,018

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644 : 52,018 = 52,018 : x
2. Step 2: Convert to fraction form
   33,644/52,018 = 52,018/x
3. Step 3: Cross multiply
   33,644x = 52,018 × 52,018
4. Step 4: Simplify right side
   33,644x = 2,705,872,324
5. Step 5: Solve for x
   x = 2,705,872,324/33,644
6. Step 6: Final answer
   x = 80,426.59