Finding the Third Proportional to 2,822.34 and 5,948.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,822.34 : 5,948.44 = 5,948.44 : x
2. Step 2: Convert to fraction form
   2,822.34/5,948.44 = 5,948.44/x
3. Step 3: Cross multiply
   2,822.34x = 5,948.44 × 5,948.44
4. Step 4: Simplify right side
   2,822.34x = 35,383,908.69
5. Step 5: Solve for x
   x = 35,383,908.69/2,822.34
6. Step 6: Final answer
   x = 12,537.07