Finding the Third Proportional to 2,344.88 and 3,635.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,344.88 : 3,635.53 = 3,635.53 : x
2. Step 2: Convert to fraction form
   2,344.88/3,635.53 = 3,635.53/x
3. Step 3: Cross multiply
   2,344.88x = 3,635.53 × 3,635.53
4. Step 4: Simplify right side
   2,344.88x = 13,217,087.47
5. Step 5: Solve for x
   x = 13,217,087.47/2,344.88
6. Step 6: Final answer
   x = 5,636.59