Finding the Third Proportional to 2,463 and 5,336.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463 : 5,336.25 = 5,336.25 : x
2. Step 2: Convert to fraction form
   2,463/5,336.25 = 5,336.25/x
3. Step 3: Cross multiply
   2,463x = 5,336.25 × 5,336.25
4. Step 4: Simplify right side
   2,463x = 28,475,564.06
5. Step 5: Solve for x
   x = 28,475,564.06/2,463
6. Step 6: Final answer
   x = 11,561.33