Finding the Third Proportional to 5,738 and 12,166

Step by Step Solution

1. Step 1: Write the proportion equation
   5,738 : 12,166 = 12,166 : x
2. Step 2: Convert to fraction form
   5,738/12,166 = 12,166/x
3. Step 3: Cross multiply
   5,738x = 12,166 × 12,166
4. Step 4: Simplify right side
   5,738x = 148,011,556
5. Step 5: Solve for x
   x = 148,011,556/5,738
6. Step 6: Final answer
   x = 25,794.97