Finding the Third Proportional to 2,586.38 and 3,513.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.38 : 3,513.94 = 3,513.94 : x
2. Step 2: Convert to fraction form
   2,586.38/3,513.94 = 3,513.94/x
3. Step 3: Cross multiply
   2,586.38x = 3,513.94 × 3,513.94
4. Step 4: Simplify right side
   2,586.38x = 12,347,756.75
5. Step 5: Solve for x
   x = 12,347,756.75/2,586.38
6. Step 6: Final answer
   x = 4,774.16