Finding the Third Proportional to 5,221.83 and 8,089.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,221.83 : 8,089.55 = 8,089.55 : x
2. Step 2: Convert to fraction form
   5,221.83/8,089.55 = 8,089.55/x
3. Step 3: Cross multiply
   5,221.83x = 8,089.55 × 8,089.55
4. Step 4: Simplify right side
   5,221.83x = 65,440,768.64
5. Step 5: Solve for x
   x = 65,440,768.64/5,221.83
6. Step 6: Final answer
   x = 12,532.16