Finding the Third Proportional to 6,171.82 and 8,206.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,171.82 : 8,206.00 = 8,206.00 : x
2. Step 2: Convert to fraction form
   6,171.82/8,206.00 = 8,206.00/x
3. Step 3: Cross multiply
   6,171.82x = 8,206.00 × 8,206.00
4. Step 4: Simplify right side
   6,171.82x = 67,338,371.89
5. Step 5: Solve for x
   x = 67,338,371.89/6,171.82
6. Step 6: Final answer
   x = 10,910.62