Finding the Third Proportional to 10,320 and 14,240

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 14,240 = 14,240 : x
2. Step 2: Convert to fraction form
   10,320/14,240 = 14,240/x
3. Step 3: Cross multiply
   10,320x = 14,240 × 14,240
4. Step 4: Simplify right side
   10,320x = 202,777,600
5. Step 5: Solve for x
   x = 202,777,600/10,320
6. Step 6: Final answer
   x = 19,648.99