Finding the Third Proportional to 5,591.25 and 8,386.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,591.25 : 8,386.31 = 8,386.31 : x
2. Step 2: Convert to fraction form
   5,591.25/8,386.31 = 8,386.31/x
3. Step 3: Cross multiply
   5,591.25x = 8,386.31 × 8,386.31
4. Step 4: Simplify right side
   5,591.25x = 70,330,237.35
5. Step 5: Solve for x
   x = 70,330,237.35/5,591.25
6. Step 6: Final answer
   x = 12,578.63