Finding the Third Proportional to 2,401.25 and 3,546.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.25 : 3,546.63 = 3,546.63 : x
2. Step 2: Convert to fraction form
   2,401.25/3,546.63 = 3,546.63/x
3. Step 3: Cross multiply
   2,401.25x = 3,546.63 × 3,546.63
4. Step 4: Simplify right side
   2,401.25x = 12,578,548.89
5. Step 5: Solve for x
   x = 12,578,548.89/2,401.25
6. Step 6: Final answer
   x = 5,238.33