Finding the Third Proportional to 17,640 and 25,968

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 25,968 = 25,968 : x
2. Step 2: Convert to fraction form
   17,640/25,968 = 25,968/x
3. Step 3: Cross multiply
   17,640x = 25,968 × 25,968
4. Step 4: Simplify right side
   17,640x = 674,337,024
5. Step 5: Solve for x
   x = 674,337,024/17,640
6. Step 6: Final answer
   x = 38,227.72