Finding the Third Proportional to 3,577.25 and 5,345.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.25 : 5,345.25 = 5,345.25 : x
2. Step 2: Convert to fraction form
   3,577.25/5,345.25 = 5,345.25/x
3. Step 3: Cross multiply
   3,577.25x = 5,345.25 × 5,345.25
4. Step 4: Simplify right side
   3,577.25x = 28,571,697.56
5. Step 5: Solve for x
   x = 28,571,697.56/3,577.25
6. Step 6: Final answer
   x = 7,987.06