Finding the Third Proportional to 1,208.25 and 2,647.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.25 : 2,647.25 = 2,647.25 : x
2. Step 2: Convert to fraction form
   1,208.25/2,647.25 = 2,647.25/x
3. Step 3: Cross multiply
   1,208.25x = 2,647.25 × 2,647.25
4. Step 4: Simplify right side
   1,208.25x = 7,007,932.56
5. Step 5: Solve for x
   x = 7,007,932.56/1,208.25
6. Step 6: Final answer
   x = 5,800.07