Finding the Third Proportional to 10,476 and 14,684

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476 : 14,684 = 14,684 : x
2. Step 2: Convert to fraction form
   10,476/14,684 = 14,684/x
3. Step 3: Cross multiply
   10,476x = 14,684 × 14,684
4. Step 4: Simplify right side
   10,476x = 215,619,856
5. Step 5: Solve for x
   x = 215,619,856/10,476
6. Step 6: Final answer
   x = 20,582.27