Finding the Third Proportional to 15,488 and 33,824

Step by Step Solution

1. Step 1: Write the proportion equation
   15,488 : 33,824 = 33,824 : x
2. Step 2: Convert to fraction form
   15,488/33,824 = 33,824/x
3. Step 3: Cross multiply
   15,488x = 33,824 × 33,824
4. Step 4: Simplify right side
   15,488x = 1,144,062,976
5. Step 5: Solve for x
   x = 1,144,062,976/15,488
6. Step 6: Final answer
   x = 73,867.70