Finding the Third Proportional to 1,055.67 and 1,369.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.67 : 1,369.83 = 1,369.83 : x
2. Step 2: Convert to fraction form
   1,055.67/1,369.83 = 1,369.83/x
3. Step 3: Cross multiply
   1,055.67x = 1,369.83 × 1,369.83
4. Step 4: Simplify right side
   1,055.67x = 1,876,429.09
5. Step 5: Solve for x
   x = 1,876,429.09/1,055.67
6. Step 6: Final answer
   x = 1,777.47