Finding the Third Proportional to 1,212.75 and 2,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,212.75 : 2,648.25 = 2,648.25 : x
2. Step 2: Convert to fraction form
   1,212.75/2,648.25 = 2,648.25/x
3. Step 3: Cross multiply
   1,212.75x = 2,648.25 × 2,648.25
4. Step 4: Simplify right side
   1,212.75x = 7,013,228.06
5. Step 5: Solve for x
   x = 7,013,228.06/1,212.75
6. Step 6: Final answer
   x = 5,782.91