Finding the Third Proportional to 2,463 and 3,707.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463 : 3,707.25 = 3,707.25 : x
2. Step 2: Convert to fraction form
   2,463/3,707.25 = 3,707.25/x
3. Step 3: Cross multiply
   2,463x = 3,707.25 × 3,707.25
4. Step 4: Simplify right side
   2,463x = 13,743,702.56
5. Step 5: Solve for x
   x = 13,743,702.56/2,463
6. Step 6: Final answer
   x = 5,580.07