Finding the Third Proportional to 2,322.25 and 5,054.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.25 : 5,054.75 = 5,054.75 : x
2. Step 2: Convert to fraction form
   2,322.25/5,054.75 = 5,054.75/x
3. Step 3: Cross multiply
   2,322.25x = 5,054.75 × 5,054.75
4. Step 4: Simplify right side
   2,322.25x = 25,550,497.56
5. Step 5: Solve for x
   x = 25,550,497.56/2,322.25
6. Step 6: Final answer
   x = 11,002.47