Finding the Third Proportional to 2,669.25 and 5,763.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,669.25 : 5,763.75 = 5,763.75 : x
2. Step 2: Convert to fraction form
   2,669.25/5,763.75 = 5,763.75/x
3. Step 3: Cross multiply
   2,669.25x = 5,763.75 × 5,763.75
4. Step 4: Simplify right side
   2,669.25x = 33,220,814.06
5. Step 5: Solve for x
   x = 33,220,814.06/2,669.25
6. Step 6: Final answer
   x = 12,445.75