Finding the Third Proportional to 613.50 and 1,309.69

Step by Step Solution

1. Step 1: Write the proportion equation
   613.50 : 1,309.69 = 1,309.69 : x
2. Step 2: Convert to fraction form
   613.50/1,309.69 = 1,309.69/x
3. Step 3: Cross multiply
   613.50x = 1,309.69 × 1,309.69
4. Step 4: Simplify right side
   613.50x = 1,715,281.35
5. Step 5: Solve for x
   x = 1,715,281.35/613.50
6. Step 6: Final answer
   x = 2,795.89