Finding the Third Proportional to 2,401.13 and 3,515.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.13 : 3,515.63 = 3,515.63 : x
2. Step 2: Convert to fraction form
   2,401.13/3,515.63 = 3,515.63/x
3. Step 3: Cross multiply
   2,401.13x = 3,515.63 × 3,515.63
4. Step 4: Simplify right side
   2,401.13x = 12,359,619.14
5. Step 5: Solve for x
   x = 12,359,619.14/2,401.13
6. Step 6: Final answer
   x = 5,147.43