Finding the Third Proportional to 2,344.50 and 3,627.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,344.50 : 3,627.75 = 3,627.75 : x
2. Step 2: Convert to fraction form
   2,344.50/3,627.75 = 3,627.75/x
3. Step 3: Cross multiply
   2,344.50x = 3,627.75 × 3,627.75
4. Step 4: Simplify right side
   2,344.50x = 13,160,570.06
5. Step 5: Solve for x
   x = 13,160,570.06/2,344.50
6. Step 6: Final answer
   x = 5,613.38