Finding the Third Proportional to 11,538 and 18,078

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 18,078 = 18,078 : x
2. Step 2: Convert to fraction form
   11,538/18,078 = 18,078/x
3. Step 3: Cross multiply
   11,538x = 18,078 × 18,078
4. Step 4: Simplify right side
   11,538x = 326,814,084
5. Step 5: Solve for x
   x = 326,814,084/11,538
6. Step 6: Final answer
   x = 28,325.02