Finding the Third Proportional to 5,185.69 and 8,284.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.69 : 8,284.78 = 8,284.78 : x
2. Step 2: Convert to fraction form
   5,185.69/8,284.78 = 8,284.78/x
3. Step 3: Cross multiply
   5,185.69x = 8,284.78 × 8,284.78
4. Step 4: Simplify right side
   5,185.69x = 68,637,600.36
5. Step 5: Solve for x
   x = 68,637,600.36/5,185.69
6. Step 6: Final answer
   x = 13,235.97