Finding the Third Proportional to 2,463.75 and 5,382.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.75 : 5,382.75 = 5,382.75 : x
2. Step 2: Convert to fraction form
   2,463.75/5,382.75 = 5,382.75/x
3. Step 3: Cross multiply
   2,463.75x = 5,382.75 × 5,382.75
4. Step 4: Simplify right side
   2,463.75x = 28,973,997.56
5. Step 5: Solve for x
   x = 28,973,997.56/2,463.75
6. Step 6: Final answer
   x = 11,760.12