Finding the Third Proportional to 1,413.56 and 2,101.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.56 : 2,101.78 = 2,101.78 : x
2. Step 2: Convert to fraction form
   1,413.56/2,101.78 = 2,101.78/x
3. Step 3: Cross multiply
   1,413.56x = 2,101.78 × 2,101.78
4. Step 4: Simplify right side
   1,413.56x = 4,417,484.42
5. Step 5: Solve for x
   x = 4,417,484.42/1,413.56
6. Step 6: Final answer
   x = 3,125.07