Finding the Third Proportional to 11,906.50 and 17,968

Step by Step Solution

1. Step 1: Write the proportion equation
   11,906.50 : 17,968 = 17,968 : x
2. Step 2: Convert to fraction form
   11,906.50/17,968 = 17,968/x
3. Step 3: Cross multiply
   11,906.50x = 17,968 × 17,968
4. Step 4: Simplify right side
   11,906.50x = 322,849,024
5. Step 5: Solve for x
   x = 322,849,024/11,906.50
6. Step 6: Final answer
   x = 27,115.36