Finding the Third Proportional to 5,509.25 and 7,853.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,509.25 : 7,853.38 = 7,853.38 : x
2. Step 2: Convert to fraction form
   5,509.25/7,853.38 = 7,853.38/x
3. Step 3: Cross multiply
   5,509.25x = 7,853.38 × 7,853.38
4. Step 4: Simplify right side
   5,509.25x = 61,675,498.89
5. Step 5: Solve for x
   x = 61,675,498.89/5,509.25
6. Step 6: Final answer
   x = 11,194.90