Finding the Third Proportional to 2,558 and 5,909

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558 : 5,909 = 5,909 : x
2. Step 2: Convert to fraction form
   2,558/5,909 = 5,909/x
3. Step 3: Cross multiply
   2,558x = 5,909 × 5,909
4. Step 4: Simplify right side
   2,558x = 34,916,281
5. Step 5: Solve for x
   x = 34,916,281/2,558
6. Step 6: Final answer
   x = 13,649.84