Finding the Third Proportional to 3,974.06 and 8,641.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,974.06 : 8,641.69 = 8,641.69 : x
2. Step 2: Convert to fraction form
   3,974.06/8,641.69 = 8,641.69/x
3. Step 3: Cross multiply
   3,974.06x = 8,641.69 × 8,641.69
4. Step 4: Simplify right side
   3,974.06x = 74,678,762.85
5. Step 5: Solve for x
   x = 74,678,762.85/3,974.06
6. Step 6: Final answer
   x = 18,791.54