Finding the Third Proportional to 12,164 and 13,444

Step by Step Solution

1. Step 1: Write the proportion equation
   12,164 : 13,444 = 13,444 : x
2. Step 2: Convert to fraction form
   12,164/13,444 = 13,444/x
3. Step 3: Cross multiply
   12,164x = 13,444 × 13,444
4. Step 4: Simplify right side
   12,164x = 180,741,136
5. Step 5: Solve for x
   x = 180,741,136/12,164
6. Step 6: Final answer
   x = 14,858.69