Finding the Third Proportional to 11,584 and 17,968

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584 : 17,968 = 17,968 : x
2. Step 2: Convert to fraction form
   11,584/17,968 = 17,968/x
3. Step 3: Cross multiply
   11,584x = 17,968 × 17,968
4. Step 4: Simplify right side
   11,584x = 322,849,024
5. Step 5: Solve for x
   x = 322,849,024/11,584
6. Step 6: Final answer
   x = 27,870.25