Finding the Third Proportional to 17,736 and 25,824

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 25,824 = 25,824 : x
2. Step 2: Convert to fraction form
   17,736/25,824 = 25,824/x
3. Step 3: Cross multiply
   17,736x = 25,824 × 25,824
4. Step 4: Simplify right side
   17,736x = 666,878,976
5. Step 5: Solve for x
   x = 666,878,976/17,736
6. Step 6: Final answer
   x = 37,600.30