Finding the Third Proportional to 5,077.69 and 8,641.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.69 : 8,641.69 = 8,641.69 : x
2. Step 2: Convert to fraction form
   5,077.69/8,641.69 = 8,641.69/x
3. Step 3: Cross multiply
   5,077.69x = 8,641.69 × 8,641.69
4. Step 4: Simplify right side
   5,077.69x = 74,678,762.85
5. Step 5: Solve for x
   x = 74,678,762.85/5,077.69
6. Step 6: Final answer
   x = 14,707.24