Finding the Third Proportional to 10,836 and 17,166

Step by Step Solution

1. Step 1: Write the proportion equation
   10,836 : 17,166 = 17,166 : x
2. Step 2: Convert to fraction form
   10,836/17,166 = 17,166/x
3. Step 3: Cross multiply
   10,836x = 17,166 × 17,166
4. Step 4: Simplify right side
   10,836x = 294,671,556
5. Step 5: Solve for x
   x = 294,671,556/10,836
6. Step 6: Final answer
   x = 27,193.76