Finding the Third Proportional to 5,243.25 and 8,188.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,243.25 : 8,188.88 = 8,188.88 : x
2. Step 2: Convert to fraction form
   5,243.25/8,188.88 = 8,188.88/x
3. Step 3: Cross multiply
   5,243.25x = 8,188.88 × 8,188.88
4. Step 4: Simplify right side
   5,243.25x = 67,057,673.77
5. Step 5: Solve for x
   x = 67,057,673.77/5,243.25
6. Step 6: Final answer
   x = 12,789.33