Finding the Third Proportional to 11,942 and 13,166

Step by Step Solution

1. Step 1: Write the proportion equation
   11,942 : 13,166 = 13,166 : x
2. Step 2: Convert to fraction form
   11,942/13,166 = 13,166/x
3. Step 3: Cross multiply
   11,942x = 13,166 × 13,166
4. Step 4: Simplify right side
   11,942x = 173,343,556
5. Step 5: Solve for x
   x = 173,343,556/11,942
6. Step 6: Final answer
   x = 14,515.45