Finding the Third Proportional to 2,644.31 and 5,783.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.31 : 5,783.06 = 5,783.06 : x
2. Step 2: Convert to fraction form
   2,644.31/5,783.06 = 5,783.06/x
3. Step 3: Cross multiply
   2,644.31x = 5,783.06 × 5,783.06
4. Step 4: Simplify right side
   2,644.31x = 33,443,811.88
5. Step 5: Solve for x
   x = 33,443,811.88/2,644.31
6. Step 6: Final answer
   x = 12,647.45