Finding the Third Proportional to 613.69 and 1,477.69

Step by Step Solution

1. Step 1: Write the proportion equation
   613.69 : 1,477.69 = 1,477.69 : x
2. Step 2: Convert to fraction form
   613.69/1,477.69 = 1,477.69/x
3. Step 3: Cross multiply
   613.69x = 1,477.69 × 1,477.69
4. Step 4: Simplify right side
   613.69x = 2,183,560.35
5. Step 5: Solve for x
   x = 2,183,560.35/613.69
6. Step 6: Final answer
   x = 3,558.10