Finding the Third Proportional to 11,148 and 18,582

Step by Step Solution

1. Step 1: Write the proportion equation
   11,148 : 18,582 = 18,582 : x
2. Step 2: Convert to fraction form
   11,148/18,582 = 18,582/x
3. Step 3: Cross multiply
   11,148x = 18,582 × 18,582
4. Step 4: Simplify right side
   11,148x = 345,290,724
5. Step 5: Solve for x
   x = 345,290,724/11,148
6. Step 6: Final answer
   x = 30,973.33