Finding the Third Proportional to 10,406 and 16,032

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406 : 16,032 = 16,032 : x
2. Step 2: Convert to fraction form
   10,406/16,032 = 16,032/x
3. Step 3: Cross multiply
   10,406x = 16,032 × 16,032
4. Step 4: Simplify right side
   10,406x = 257,025,024
5. Step 5: Solve for x
   x = 257,025,024/10,406
6. Step 6: Final answer
   x = 24,699.69