Finding the Third Proportional to 10,588 and 16,166

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 16,166 = 16,166 : x
2. Step 2: Convert to fraction form
   10,588/16,166 = 16,166/x
3. Step 3: Cross multiply
   10,588x = 16,166 × 16,166
4. Step 4: Simplify right side
   10,588x = 261,339,556
5. Step 5: Solve for x
   x = 261,339,556/10,588
6. Step 6: Final answer
   x = 24,682.62