Finding the Third Proportional to 3,974.63 and 5,583.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,974.63 : 5,583.38 = 5,583.38 : x
2. Step 2: Convert to fraction form
   3,974.63/5,583.38 = 5,583.38/x
3. Step 3: Cross multiply
   3,974.63x = 5,583.38 × 5,583.38
4. Step 4: Simplify right side
   3,974.63x = 31,174,076.39
5. Step 5: Solve for x
   x = 31,174,076.39/3,974.63
6. Step 6: Final answer
   x = 7,843.27