Finding the Third Proportional to 10,144 and 18,320

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144 : 18,320 = 18,320 : x
2. Step 2: Convert to fraction form
   10,144/18,320 = 18,320/x
3. Step 3: Cross multiply
   10,144x = 18,320 × 18,320
4. Step 4: Simplify right side
   10,144x = 335,622,400
5. Step 5: Solve for x
   x = 335,622,400/10,144
6. Step 6: Final answer
   x = 33,085.80