Finding the Third Proportional to 1,591.59 and 3,226.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.59 : 3,226.22 = 3,226.22 : x
2. Step 2: Convert to fraction form
   1,591.59/3,226.22 = 3,226.22/x
3. Step 3: Cross multiply
   1,591.59x = 3,226.22 × 3,226.22
4. Step 4: Simplify right side
   1,591.59x = 10,408,487.42
5. Step 5: Solve for x
   x = 10,408,487.42/1,591.59
6. Step 6: Final answer
   x = 6,539.66