Finding the Third Proportional to 3,635.25 and 5,591.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,635.25 : 5,591.25 = 5,591.25 : x
2. Step 2: Convert to fraction form
   3,635.25/5,591.25 = 5,591.25/x
3. Step 3: Cross multiply
   3,635.25x = 5,591.25 × 5,591.25
4. Step 4: Simplify right side
   3,635.25x = 31,262,076.56
5. Step 5: Solve for x
   x = 31,262,076.56/3,635.25
6. Step 6: Final answer
   x = 8,599.70