Finding the Third Proportional to 33,286 and 72,824

Step by Step Solution

1. Step 1: Write the proportion equation
   33,286 : 72,824 = 72,824 : x
2. Step 2: Convert to fraction form
   33,286/72,824 = 72,824/x
3. Step 3: Cross multiply
   33,286x = 72,824 × 72,824
4. Step 4: Simplify right side
   33,286x = 5,303,334,976
5. Step 5: Solve for x
   x = 5,303,334,976/33,286
6. Step 6: Final answer
   x = 159,326.29