Finding the Third Proportional to 10,402 and 13,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402 : 13,164 = 13,164 : x
2. Step 2: Convert to fraction form
   10,402/13,164 = 13,164/x
3. Step 3: Cross multiply
   10,402x = 13,164 × 13,164
4. Step 4: Simplify right side
   10,402x = 173,290,896
5. Step 5: Solve for x
   x = 173,290,896/10,402
6. Step 6: Final answer
   x = 16,659.38