Finding the Third Proportional to 10,424 and 14,686

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 14,686 = 14,686 : x
2. Step 2: Convert to fraction form
   10,424/14,686 = 14,686/x
3. Step 3: Cross multiply
   10,424x = 14,686 × 14,686
4. Step 4: Simplify right side
   10,424x = 215,678,596
5. Step 5: Solve for x
   x = 215,678,596/10,424
6. Step 6: Final answer
   x = 20,690.58