Finding the Third Proportional to 11,180 and 16,168

Step by Step Solution

1. Step 1: Write the proportion equation
   11,180 : 16,168 = 16,168 : x
2. Step 2: Convert to fraction form
   11,180/16,168 = 16,168/x
3. Step 3: Cross multiply
   11,180x = 16,168 × 16,168
4. Step 4: Simplify right side
   11,180x = 261,404,224
5. Step 5: Solve for x
   x = 261,404,224/11,180
6. Step 6: Final answer
   x = 23,381.42