Finding the Third Proportional to 22,338 and 33,796

Step by Step Solution

1. Step 1: Write the proportion equation
   22,338 : 33,796 = 33,796 : x
2. Step 2: Convert to fraction form
   22,338/33,796 = 33,796/x
3. Step 3: Cross multiply
   22,338x = 33,796 × 33,796
4. Step 4: Simplify right side
   22,338x = 1,142,169,616
5. Step 5: Solve for x
   x = 1,142,169,616/22,338
6. Step 6: Final answer
   x = 51,131.24