Finding the Third Proportional to 11,967 and 13,191

Step by Step Solution

1. Step 1: Write the proportion equation
   11,967 : 13,191 = 13,191 : x
2. Step 2: Convert to fraction form
   11,967/13,191 = 13,191/x
3. Step 3: Cross multiply
   11,967x = 13,191 × 13,191
4. Step 4: Simplify right side
   11,967x = 174,002,481
5. Step 5: Solve for x
   x = 174,002,481/11,967
6. Step 6: Final answer
   x = 14,540.19