Finding the Third Proportional to 22,648 and 33,854

Step by Step Solution

1. Step 1: Write the proportion equation
   22,648 : 33,854 = 33,854 : x
2. Step 2: Convert to fraction form
   22,648/33,854 = 33,854/x
3. Step 3: Cross multiply
   22,648x = 33,854 × 33,854
4. Step 4: Simplify right side
   22,648x = 1,146,093,316
5. Step 5: Solve for x
   x = 1,146,093,316/22,648
6. Step 6: Final answer
   x = 50,604.61