Finding the Third Proportional to 33,624 and 41,112

Step by Step Solution

1. Step 1: Write the proportion equation
   33,624 : 41,112 = 41,112 : x
2. Step 2: Convert to fraction form
   33,624/41,112 = 41,112/x
3. Step 3: Cross multiply
   33,624x = 41,112 × 41,112
4. Step 4: Simplify right side
   33,624x = 1,690,196,544
5. Step 5: Solve for x
   x = 1,690,196,544/33,624
6. Step 6: Final answer
   x = 50,267.56