Finding the Third Proportional to 5,809.22 and 8,189.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,809.22 : 8,189.86 = 8,189.86 : x
2. Step 2: Convert to fraction form
   5,809.22/8,189.86 = 8,189.86/x
3. Step 3: Cross multiply
   5,809.22x = 8,189.86 × 8,189.86
4. Step 4: Simplify right side
   5,809.22x = 67,073,796.58
5. Step 5: Solve for x
   x = 67,073,796.58/5,809.22
6. Step 6: Final answer
   x = 11,546.10