Finding the Third Proportional to 1,540.50 and 3,638

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.50 : 3,638 = 3,638 : x
2. Step 2: Convert to fraction form
   1,540.50/3,638 = 3,638/x
3. Step 3: Cross multiply
   1,540.50x = 3,638 × 3,638
4. Step 4: Simplify right side
   1,540.50x = 13,235,044
5. Step 5: Solve for x
   x = 13,235,044/1,540.50
6. Step 6: Final answer
   x = 8,591.40