Finding the Third Proportional to 583.31 and 1,360.69

Step by Step Solution

1. Step 1: Write the proportion equation
   583.31 : 1,360.69 = 1,360.69 : x
2. Step 2: Convert to fraction form
   583.31/1,360.69 = 1,360.69/x
3. Step 3: Cross multiply
   583.31x = 1,360.69 × 1,360.69
4. Step 4: Simplify right side
   583.31x = 1,851,470.47
5. Step 5: Solve for x
   x = 1,851,470.47/583.31
6. Step 6: Final answer
   x = 3,174.06