Finding the Third Proportional to 10,590 and 13,929

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590 : 13,929 = 13,929 : x
2. Step 2: Convert to fraction form
   10,590/13,929 = 13,929/x
3. Step 3: Cross multiply
   10,590x = 13,929 × 13,929
4. Step 4: Simplify right side
   10,590x = 194,017,041
5. Step 5: Solve for x
   x = 194,017,041/10,590
6. Step 6: Final answer
   x = 18,320.78