Finding the Third Proportional to 5,410.69 and 8,188.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,410.69 : 8,188.31 = 8,188.31 : x
2. Step 2: Convert to fraction form
   5,410.69/8,188.31 = 8,188.31/x
3. Step 3: Cross multiply
   5,410.69x = 8,188.31 × 8,188.31
4. Step 4: Simplify right side
   5,410.69x = 67,048,461.60
5. Step 5: Solve for x
   x = 67,048,461.60/5,410.69
6. Step 6: Final answer
   x = 12,391.86