Finding the Third Proportional to 13,003.50 and 18,582

Step by Step Solution

1. Step 1: Write the proportion equation
   13,003.50 : 18,582 = 18,582 : x
2. Step 2: Convert to fraction form
   13,003.50/18,582 = 18,582/x
3. Step 3: Cross multiply
   13,003.50x = 18,582 × 18,582
4. Step 4: Simplify right side
   13,003.50x = 345,290,724
5. Step 5: Solve for x
   x = 345,290,724/13,003.50
6. Step 6: Final answer
   x = 26,553.68