Finding the Third Proportional to 1,255.69 and 2,693.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.69 : 2,693.63 = 2,693.63 : x
2. Step 2: Convert to fraction form
   1,255.69/2,693.63 = 2,693.63/x
3. Step 3: Cross multiply
   1,255.69x = 2,693.63 × 2,693.63
4. Step 4: Simplify right side
   1,255.69x = 7,255,615.64
5. Step 5: Solve for x
   x = 7,255,615.64/1,255.69
6. Step 6: Final answer
   x = 5,778.20