Finding the Third Proportional to 10,406 and 18,502

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406 : 18,502 = 18,502 : x
2. Step 2: Convert to fraction form
   10,406/18,502 = 18,502/x
3. Step 3: Cross multiply
   10,406x = 18,502 × 18,502
4. Step 4: Simplify right side
   10,406x = 342,324,004
5. Step 5: Solve for x
   x = 342,324,004/10,406
6. Step 6: Final answer
   x = 32,896.79