Finding the Third Proportional to 3,641.63 and 8,017.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,641.63 : 8,017.31 = 8,017.31 : x
2. Step 2: Convert to fraction form
   3,641.63/8,017.31 = 8,017.31/x
3. Step 3: Cross multiply
   3,641.63x = 8,017.31 × 8,017.31
4. Step 4: Simplify right side
   3,641.63x = 64,277,299.72
5. Step 5: Solve for x
   x = 64,277,299.72/3,641.63
6. Step 6: Final answer
   x = 17,650.72