Finding the Third Proportional to 2,661.61 and 5,782.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.61 : 5,782.64 = 5,782.64 : x
2. Step 2: Convert to fraction form
   2,661.61/5,782.64 = 5,782.64/x
3. Step 3: Cross multiply
   2,661.61x = 5,782.64 × 5,782.64
4. Step 4: Simplify right side
   2,661.61x = 33,438,932.60
5. Step 5: Solve for x
   x = 33,438,932.60/2,661.61
6. Step 6: Final answer
   x = 12,563.43