Finding the Third Proportional to 2,403.42 and 3,638.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,403.42 : 3,638.67 = 3,638.67 : x
2. Step 2: Convert to fraction form
   2,403.42/3,638.67 = 3,638.67/x
3. Step 3: Cross multiply
   2,403.42x = 3,638.67 × 3,638.67
4. Step 4: Simplify right side
   2,403.42x = 13,239,933.01
5. Step 5: Solve for x
   x = 13,239,933.01/2,403.42
6. Step 6: Final answer
   x = 5,508.78