Finding the Third Proportional to 11,166 and 24,274

Step by Step Solution

1. Step 1: Write the proportion equation
   11,166 : 24,274 = 24,274 : x
2. Step 2: Convert to fraction form
   11,166/24,274 = 24,274/x
3. Step 3: Cross multiply
   11,166x = 24,274 × 24,274
4. Step 4: Simplify right side
   11,166x = 589,227,076
5. Step 5: Solve for x
   x = 589,227,076/11,166
6. Step 6: Final answer
   x = 52,769.75