Finding the Third Proportional to 1,099.50 and 2,414.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.50 : 2,414.63 = 2,414.63 : x
2. Step 2: Convert to fraction form
   1,099.50/2,414.63 = 2,414.63/x
3. Step 3: Cross multiply
   1,099.50x = 2,414.63 × 2,414.63
4. Step 4: Simplify right side
   1,099.50x = 5,830,413.89
5. Step 5: Solve for x
   x = 5,830,413.89/1,099.50
6. Step 6: Final answer
   x = 5,302.79