Finding the Third Proportional to 2,546.25 and 5,400.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.25 : 5,400.75 = 5,400.75 : x
2. Step 2: Convert to fraction form
   2,546.25/5,400.75 = 5,400.75/x
3. Step 3: Cross multiply
   2,546.25x = 5,400.75 × 5,400.75
4. Step 4: Simplify right side
   2,546.25x = 29,168,100.56
5. Step 5: Solve for x
   x = 29,168,100.56/2,546.25
6. Step 6: Final answer
   x = 11,455.32