Finding the Third Proportional to 2,586.94 and 5,669.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.94 : 5,669.37 = 5,669.37 : x
2. Step 2: Convert to fraction form
   2,586.94/5,669.37 = 5,669.37/x
3. Step 3: Cross multiply
   2,586.94x = 5,669.37 × 5,669.37
4. Step 4: Simplify right side
   2,586.94x = 32,141,724.31
5. Step 5: Solve for x
   x = 32,141,724.31/2,586.94
6. Step 6: Final answer
   x = 12,424.62