Finding the Third Proportional to 10,320 and 13,509

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 13,509 = 13,509 : x
2. Step 2: Convert to fraction form
   10,320/13,509 = 13,509/x
3. Step 3: Cross multiply
   10,320x = 13,509 × 13,509
4. Step 4: Simplify right side
   10,320x = 182,493,081
5. Step 5: Solve for x
   x = 182,493,081/10,320
6. Step 6: Final answer
   x = 17,683.44