Finding the Third Proportional to 10,684 and 14,064

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 14,064 = 14,064 : x
2. Step 2: Convert to fraction form
   10,684/14,064 = 14,064/x
3. Step 3: Cross multiply
   10,684x = 14,064 × 14,064
4. Step 4: Simplify right side
   10,684x = 197,796,096
5. Step 5: Solve for x
   x = 197,796,096/10,684
6. Step 6: Final answer
   x = 18,513.30