Finding the Third Proportional to 5,809.50 and 9,785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,809.50 : 9,785.25 = 9,785.25 : x
2. Step 2: Convert to fraction form
   5,809.50/9,785.25 = 9,785.25/x
3. Step 3: Cross multiply
   5,809.50x = 9,785.25 × 9,785.25
4. Step 4: Simplify right side
   5,809.50x = 95,751,117.56
5. Step 5: Solve for x
   x = 95,751,117.56/5,809.50
6. Step 6: Final answer
   x = 16,481.82