Finding the Third Proportional to 10,164 and 13,566

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 13,566 = 13,566 : x
2. Step 2: Convert to fraction form
   10,164/13,566 = 13,566/x
3. Step 3: Cross multiply
   10,164x = 13,566 × 13,566
4. Step 4: Simplify right side
   10,164x = 184,036,356
5. Step 5: Solve for x
   x = 184,036,356/10,164
6. Step 6: Final answer
   x = 18,106.69