Finding the Third Proportional to 1,099.50 and 2,627.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.50 : 2,627.63 = 2,627.63 : x
2. Step 2: Convert to fraction form
   1,099.50/2,627.63 = 2,627.63/x
3. Step 3: Cross multiply
   1,099.50x = 2,627.63 × 2,627.63
4. Step 4: Simplify right side
   1,099.50x = 6,904,413.14
5. Step 5: Solve for x
   x = 6,904,413.14/1,099.50
6. Step 6: Final answer
   x = 6,279.59