Finding the Third Proportional to 2,497.50 and 3,647.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,497.50 : 3,647.53 = 3,647.53 : x
2. Step 2: Convert to fraction form
   2,497.50/3,647.53 = 3,647.53/x
3. Step 3: Cross multiply
   2,497.50x = 3,647.53 × 3,647.53
4. Step 4: Simplify right side
   2,497.50x = 13,304,484.22
5. Step 5: Solve for x
   x = 13,304,484.22/2,497.50
6. Step 6: Final answer
   x = 5,327.12