Finding the Third Proportional to 2,463 and 3,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463 : 3,613.50 = 3,613.50 : x
2. Step 2: Convert to fraction form
   2,463/3,613.50 = 3,613.50/x
3. Step 3: Cross multiply
   2,463x = 3,613.50 × 3,613.50
4. Step 4: Simplify right side
   2,463x = 13,057,382.25
5. Step 5: Solve for x
   x = 13,057,382.25/2,463
6. Step 6: Final answer
   x = 5,301.41