Finding the Third Proportional to 10,320 and 13,563

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 13,563 = 13,563 : x
2. Step 2: Convert to fraction form
   10,320/13,563 = 13,563/x
3. Step 3: Cross multiply
   10,320x = 13,563 × 13,563
4. Step 4: Simplify right side
   10,320x = 183,954,969
5. Step 5: Solve for x
   x = 183,954,969/10,320
6. Step 6: Final answer
   x = 17,825.09