Finding the Third Proportional to 11,424 and 23,166

Step by Step Solution

1. Step 1: Write the proportion equation
   11,424 : 23,166 = 23,166 : x
2. Step 2: Convert to fraction form
   11,424/23,166 = 23,166/x
3. Step 3: Cross multiply
   11,424x = 23,166 × 23,166
4. Step 4: Simplify right side
   11,424x = 536,663,556
5. Step 5: Solve for x
   x = 536,663,556/11,424
6. Step 6: Final answer
   x = 46,976.85