Finding the Third Proportional to 5,077.69 and 8,074.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.69 : 8,074.69 = 8,074.69 : x
2. Step 2: Convert to fraction form
   5,077.69/8,074.69 = 8,074.69/x
3. Step 3: Cross multiply
   5,077.69x = 8,074.69 × 8,074.69
4. Step 4: Simplify right side
   5,077.69x = 65,200,578.22
5. Step 5: Solve for x
   x = 65,200,578.22/5,077.69
6. Step 6: Final answer
   x = 12,840.60