Finding the Third Proportional to 4,588 and 10,738

Step by Step Solution

1. Step 1: Write the proportion equation
   4,588 : 10,738 = 10,738 : x
2. Step 2: Convert to fraction form
   4,588/10,738 = 10,738/x
3. Step 3: Cross multiply
   4,588x = 10,738 × 10,738
4. Step 4: Simplify right side
   4,588x = 115,304,644
5. Step 5: Solve for x
   x = 115,304,644/4,588
6. Step 6: Final answer
   x = 25,131.79