Finding the Third Proportional to 790.69 and 1,823.06

Step by Step Solution

1. Step 1: Write the proportion equation
   790.69 : 1,823.06 = 1,823.06 : x
2. Step 2: Convert to fraction form
   790.69/1,823.06 = 1,823.06/x
3. Step 3: Cross multiply
   790.69x = 1,823.06 × 1,823.06
4. Step 4: Simplify right side
   790.69x = 3,323,556.88
5. Step 5: Solve for x
   x = 3,323,556.88/790.69
6. Step 6: Final answer
   x = 4,203.38