Finding the Third Proportional to 11,680 and 18,112

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 18,112 = 18,112 : x
2. Step 2: Convert to fraction form
   11,680/18,112 = 18,112/x
3. Step 3: Cross multiply
   11,680x = 18,112 × 18,112
4. Step 4: Simplify right side
   11,680x = 328,044,544
5. Step 5: Solve for x
   x = 328,044,544/11,680
6. Step 6: Final answer
   x = 28,086.01