Finding the Third Proportional to 2,552.25 and 3,729

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.25 : 3,729 = 3,729 : x
2. Step 2: Convert to fraction form
   2,552.25/3,729 = 3,729/x
3. Step 3: Cross multiply
   2,552.25x = 3,729 × 3,729
4. Step 4: Simplify right side
   2,552.25x = 13,905,441
5. Step 5: Solve for x
   x = 13,905,441/2,552.25
6. Step 6: Final answer
   x = 5,448.31