Finding the Third Proportional to 10,684 and 16,484

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 16,484 = 16,484 : x
2. Step 2: Convert to fraction form
   10,684/16,484 = 16,484/x
3. Step 3: Cross multiply
   10,684x = 16,484 × 16,484
4. Step 4: Simplify right side
   10,684x = 271,722,256
5. Step 5: Solve for x
   x = 271,722,256/10,684
6. Step 6: Final answer
   x = 25,432.63