Finding the Third Proportional to 11,968 and 13,192

Step by Step Solution

1. Step 1: Write the proportion equation
   11,968 : 13,192 = 13,192 : x
2. Step 2: Convert to fraction form
   11,968/13,192 = 13,192/x
3. Step 3: Cross multiply
   11,968x = 13,192 × 13,192
4. Step 4: Simplify right side
   11,968x = 174,028,864
5. Step 5: Solve for x
   x = 174,028,864/11,968
6. Step 6: Final answer
   x = 14,541.18