Finding the Third Proportional to 2,064 and 4,588

Step by Step Solution

1. Step 1: Write the proportion equation
   2,064 : 4,588 = 4,588 : x
2. Step 2: Convert to fraction form
   2,064/4,588 = 4,588/x
3. Step 3: Cross multiply
   2,064x = 4,588 × 4,588
4. Step 4: Simplify right side
   2,064x = 21,049,744
5. Step 5: Solve for x
   x = 21,049,744/2,064
6. Step 6: Final answer
   x = 10,198.52