Finding the Third Proportional to 2,616.47 and 5,648.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,616.47 : 5,648.06 = 5,648.06 : x
2. Step 2: Convert to fraction form
   2,616.47/5,648.06 = 5,648.06/x
3. Step 3: Cross multiply
   2,616.47x = 5,648.06 × 5,648.06
4. Step 4: Simplify right side
   2,616.47x = 31,900,610.00
5. Step 5: Solve for x
   x = 31,900,610.00/2,616.47
6. Step 6: Final answer
   x = 12,192.24