Finding the Third Proportional to 17,824 and 28,768

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824 : 28,768 = 28,768 : x
2. Step 2: Convert to fraction form
   17,824/28,768 = 28,768/x
3. Step 3: Cross multiply
   17,824x = 28,768 × 28,768
4. Step 4: Simplify right side
   17,824x = 827,597,824
5. Step 5: Solve for x
   x = 827,597,824/17,824
6. Step 6: Final answer
   x = 46,431.66