Finding the Third Proportional to 17,664 and 38,256

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 38,256 = 38,256 : x
2. Step 2: Convert to fraction form
   17,664/38,256 = 38,256/x
3. Step 3: Cross multiply
   17,664x = 38,256 × 38,256
4. Step 4: Simplify right side
   17,664x = 1,463,521,536
5. Step 5: Solve for x
   x = 1,463,521,536/17,664
6. Step 6: Final answer
   x = 82,853.35