Finding the Third Proportional to 790.69 and 1,138.83

Step by Step Solution

1. Step 1: Write the proportion equation
   790.69 : 1,138.83 = 1,138.83 : x
2. Step 2: Convert to fraction form
   790.69/1,138.83 = 1,138.83/x
3. Step 3: Cross multiply
   790.69x = 1,138.83 × 1,138.83
4. Step 4: Simplify right side
   790.69x = 1,296,929.50
5. Step 5: Solve for x
   x = 1,296,929.50/790.69
6. Step 6: Final answer
   x = 1,640.26