Finding the Third Proportional to 2,419.50 and 3,636.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.50 : 3,636.75 = 3,636.75 : x
2. Step 2: Convert to fraction form
   2,419.50/3,636.75 = 3,636.75/x
3. Step 3: Cross multiply
   2,419.50x = 3,636.75 × 3,636.75
4. Step 4: Simplify right side
   2,419.50x = 13,225,950.56
5. Step 5: Solve for x
   x = 13,225,950.56/2,419.50
6. Step 6: Final answer
   x = 5,466.40