Finding the Third Proportional to 6,819.19 and 8,074.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,819.19 : 8,074.69 = 8,074.69 : x
2. Step 2: Convert to fraction form
   6,819.19/8,074.69 = 8,074.69/x
3. Step 3: Cross multiply
   6,819.19x = 8,074.69 × 8,074.69
4. Step 4: Simplify right side
   6,819.19x = 65,200,578.22
5. Step 5: Solve for x
   x = 65,200,578.22/6,819.19
6. Step 6: Final answer
   x = 9,561.34