Finding the Third Proportional to 3,657.38 and 8,105.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657.38 : 8,105.63 = 8,105.63 : x
2. Step 2: Convert to fraction form
   3,657.38/8,105.63 = 8,105.63/x
3. Step 3: Cross multiply
   3,657.38x = 8,105.63 × 8,105.63
4. Step 4: Simplify right side
   3,657.38x = 65,701,156.64
5. Step 5: Solve for x
   x = 65,701,156.64/3,657.38
6. Step 6: Final answer
   x = 17,964.02