Finding the Third Proportional to 17,184 and 25,768

Step by Step Solution

1. Step 1: Write the proportion equation
   17,184 : 25,768 = 25,768 : x
2. Step 2: Convert to fraction form
   17,184/25,768 = 25,768/x
3. Step 3: Cross multiply
   17,184x = 25,768 × 25,768
4. Step 4: Simplify right side
   17,184x = 663,989,824
5. Step 5: Solve for x
   x = 663,989,824/17,184
6. Step 6: Final answer
   x = 38,640.00