Finding the Third Proportional to 10,320 and 17,384

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 17,384 = 17,384 : x
2. Step 2: Convert to fraction form
   10,320/17,384 = 17,384/x
3. Step 3: Cross multiply
   10,320x = 17,384 × 17,384
4. Step 4: Simplify right side
   10,320x = 302,203,456
5. Step 5: Solve for x
   x = 302,203,456/10,320
6. Step 6: Final answer
   x = 29,283.28