Finding the Third Proportional to 2,663 and 4,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,663 : 4,369.50 = 4,369.50 : x
2. Step 2: Convert to fraction form
   2,663/4,369.50 = 4,369.50/x
3. Step 3: Cross multiply
   2,663x = 4,369.50 × 4,369.50
4. Step 4: Simplify right side
   2,663x = 19,092,530.25
5. Step 5: Solve for x
   x = 19,092,530.25/2,663
6. Step 6: Final answer
   x = 7,169.56