Finding the Third Proportional to 10,588 and 13,923

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 13,923 = 13,923 : x
2. Step 2: Convert to fraction form
   10,588/13,923 = 13,923/x
3. Step 3: Cross multiply
   10,588x = 13,923 × 13,923
4. Step 4: Simplify right side
   10,588x = 193,849,929
5. Step 5: Solve for x
   x = 193,849,929/10,588
6. Step 6: Final answer
   x = 18,308.46