Finding the Third Proportional to 2,588 and 5,296

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588 : 5,296 = 5,296 : x
2. Step 2: Convert to fraction form
   2,588/5,296 = 5,296/x
3. Step 3: Cross multiply
   2,588x = 5,296 × 5,296
4. Step 4: Simplify right side
   2,588x = 28,047,616
5. Step 5: Solve for x
   x = 28,047,616/2,588
6. Step 6: Final answer
   x = 10,837.56