Finding the Third Proportional to 3,718 and 5,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,718 : 5,649.50 = 5,649.50 : x
2. Step 2: Convert to fraction form
   3,718/5,649.50 = 5,649.50/x
3. Step 3: Cross multiply
   3,718x = 5,649.50 × 5,649.50
4. Step 4: Simplify right side
   3,718x = 31,916,850.25
5. Step 5: Solve for x
   x = 31,916,850.25/3,718
6. Step 6: Final answer
   x = 8,584.41