Finding the Third Proportional to 2,413 and 3,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413 : 3,625.50 = 3,625.50 : x
2. Step 2: Convert to fraction form
   2,413/3,625.50 = 3,625.50/x
3. Step 3: Cross multiply
   2,413x = 3,625.50 × 3,625.50
4. Step 4: Simplify right side
   2,413x = 13,144,250.25
5. Step 5: Solve for x
   x = 13,144,250.25/2,413
6. Step 6: Final answer
   x = 5,447.26