Finding the Third Proportional to 10,586 and 14,802

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586 : 14,802 = 14,802 : x
2. Step 2: Convert to fraction form
   10,586/14,802 = 14,802/x
3. Step 3: Cross multiply
   10,586x = 14,802 × 14,802
4. Step 4: Simplify right side
   10,586x = 219,099,204
5. Step 5: Solve for x
   x = 219,099,204/10,586
6. Step 6: Final answer
   x = 20,697.07