Finding the Third Proportional to 3,577.22 and 5,112.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.22 : 5,112.56 = 5,112.56 : x
2. Step 2: Convert to fraction form
   3,577.22/5,112.56 = 5,112.56/x
3. Step 3: Cross multiply
   3,577.22x = 5,112.56 × 5,112.56
4. Step 4: Simplify right side
   3,577.22x = 26,138,295.32
5. Step 5: Solve for x
   x = 26,138,295.32/3,577.22
6. Step 6: Final answer
   x = 7,306.88