Finding the Third Proportional to 11,166 and 17,154

Step by Step Solution

1. Step 1: Write the proportion equation
   11,166 : 17,154 = 17,154 : x
2. Step 2: Convert to fraction form
   11,166/17,154 = 17,154/x
3. Step 3: Cross multiply
   11,166x = 17,154 × 17,154
4. Step 4: Simplify right side
   11,166x = 294,259,716
5. Step 5: Solve for x
   x = 294,259,716/11,166
6. Step 6: Final answer
   x = 26,353.19