Finding the Third Proportional to 10,170 and 17,640

Step by Step Solution

1. Step 1: Write the proportion equation
   10,170 : 17,640 = 17,640 : x
2. Step 2: Convert to fraction form
   10,170/17,640 = 17,640/x
3. Step 3: Cross multiply
   10,170x = 17,640 × 17,640
4. Step 4: Simplify right side
   10,170x = 311,169,600
5. Step 5: Solve for x
   x = 311,169,600/10,170
6. Step 6: Final answer
   x = 30,596.81