Finding the Third Proportional to 5,388.19 and 8,089.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,388.19 : 8,089.59 = 8,089.59 : x
2. Step 2: Convert to fraction form
   5,388.19/8,089.59 = 8,089.59/x
3. Step 3: Cross multiply
   5,388.19x = 8,089.59 × 8,089.59
4. Step 4: Simplify right side
   5,388.19x = 65,441,527.04
5. Step 5: Solve for x
   x = 65,441,527.04/5,388.19
6. Step 6: Final answer
   x = 12,145.37