Finding the Third Proportional to 11,586 and 18,648

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586 : 18,648 = 18,648 : x
2. Step 2: Convert to fraction form
   11,586/18,648 = 18,648/x
3. Step 3: Cross multiply
   11,586x = 18,648 × 18,648
4. Step 4: Simplify right side
   11,586x = 347,747,904
5. Step 5: Solve for x
   x = 347,747,904/11,586
6. Step 6: Final answer
   x = 30,014.49