Finding the Third Proportional to 10,732 and 14,146

Step by Step Solution

1. Step 1: Write the proportion equation
   10,732 : 14,146 = 14,146 : x
2. Step 2: Convert to fraction form
   10,732/14,146 = 14,146/x
3. Step 3: Cross multiply
   10,732x = 14,146 × 14,146
4. Step 4: Simplify right side
   10,732x = 200,109,316
5. Step 5: Solve for x
   x = 200,109,316/10,732
6. Step 6: Final answer
   x = 18,646.04