Finding the Third Proportional to 3,663 and 5,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,663 : 5,670.50 = 5,670.50 : x
2. Step 2: Convert to fraction form
   3,663/5,670.50 = 5,670.50/x
3. Step 3: Cross multiply
   3,663x = 5,670.50 × 5,670.50
4. Step 4: Simplify right side
   3,663x = 32,154,570.25
5. Step 5: Solve for x
   x = 32,154,570.25/3,663
6. Step 6: Final answer
   x = 8,778.21