Finding the Third Proportional to 3,718 and 5,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,718 : 5,645.50 = 5,645.50 : x
2. Step 2: Convert to fraction form
   3,718/5,645.50 = 5,645.50/x
3. Step 3: Cross multiply
   3,718x = 5,645.50 × 5,645.50
4. Step 4: Simplify right side
   3,718x = 31,871,670.25
5. Step 5: Solve for x
   x = 31,871,670.25/3,718
6. Step 6: Final answer
   x = 8,572.26