Finding the Third Proportional to 2,591.75 and 5,669.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591.75 : 5,669.25 = 5,669.25 : x
2. Step 2: Convert to fraction form
   2,591.75/5,669.25 = 5,669.25/x
3. Step 3: Cross multiply
   2,591.75x = 5,669.25 × 5,669.25
4. Step 4: Simplify right side
   2,591.75x = 32,140,395.56
5. Step 5: Solve for x
   x = 32,140,395.56/2,591.75
6. Step 6: Final answer
   x = 12,401.04