Finding the Third Proportional to 9,384 and 17,232

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384 : 17,232 = 17,232 : x
2. Step 2: Convert to fraction form
   9,384/17,232 = 17,232/x
3. Step 3: Cross multiply
   9,384x = 17,232 × 17,232
4. Step 4: Simplify right side
   9,384x = 296,941,824
5. Step 5: Solve for x
   x = 296,941,824/9,384
6. Step 6: Final answer
   x = 31,643.42