Finding the Third Proportional to 10,838 and 17,166

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838 : 17,166 = 17,166 : x
2. Step 2: Convert to fraction form
   10,838/17,166 = 17,166/x
3. Step 3: Cross multiply
   10,838x = 17,166 × 17,166
4. Step 4: Simplify right side
   10,838x = 294,671,556
5. Step 5: Solve for x
   x = 294,671,556/10,838
6. Step 6: Final answer
   x = 27,188.74