Finding the Third Proportional to 22,824 and 33,498

Step by Step Solution

1. Step 1: Write the proportion equation
   22,824 : 33,498 = 33,498 : x
2. Step 2: Convert to fraction form
   22,824/33,498 = 33,498/x
3. Step 3: Cross multiply
   22,824x = 33,498 × 33,498
4. Step 4: Simplify right side
   22,824x = 1,122,116,004
5. Step 5: Solve for x
   x = 1,122,116,004/22,824
6. Step 6: Final answer
   x = 49,163.86