Finding the Third Proportional to 6,059.81 and 8,081.65

Step by Step Solution

1. Step 1: Write the proportion equation
   6,059.81 : 8,081.65 = 8,081.65 : x
2. Step 2: Convert to fraction form
   6,059.81/8,081.65 = 8,081.65/x
3. Step 3: Cross multiply
   6,059.81x = 8,081.65 × 8,081.65
4. Step 4: Simplify right side
   6,059.81x = 65,313,041.47
5. Step 5: Solve for x
   x = 65,313,041.47/6,059.81
6. Step 6: Final answer
   x = 10,778.06