Finding the Third Proportional to 10,600 and 14,066

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600 : 14,066 = 14,066 : x
2. Step 2: Convert to fraction form
   10,600/14,066 = 14,066/x
3. Step 3: Cross multiply
   10,600x = 14,066 × 14,066
4. Step 4: Simplify right side
   10,600x = 197,852,356
5. Step 5: Solve for x
   x = 197,852,356/10,600
6. Step 6: Final answer
   x = 18,665.32