Finding the Third Proportional to 2,644.50 and 6,265.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.50 : 6,265.31 = 6,265.31 : x
2. Step 2: Convert to fraction form
   2,644.50/6,265.31 = 6,265.31/x
3. Step 3: Cross multiply
   2,644.50x = 6,265.31 × 6,265.31
4. Step 4: Simplify right side
   2,644.50x = 39,254,140.72
5. Step 5: Solve for x
   x = 39,254,140.72/2,644.50
6. Step 6: Final answer
   x = 14,843.69