Finding the Third Proportional to 11,468 and 17,166

Step by Step Solution

1. Step 1: Write the proportion equation
   11,468 : 17,166 = 17,166 : x
2. Step 2: Convert to fraction form
   11,468/17,166 = 17,166/x
3. Step 3: Cross multiply
   11,468x = 17,166 × 17,166
4. Step 4: Simplify right side
   11,468x = 294,671,556
5. Step 5: Solve for x
   x = 294,671,556/11,468
6. Step 6: Final answer
   x = 25,695.11