Finding the Third Proportional to 5,669 and 10,406

Step by Step Solution

1. Step 1: Write the proportion equation
   5,669 : 10,406 = 10,406 : x
2. Step 2: Convert to fraction form
   5,669/10,406 = 10,406/x
3. Step 3: Cross multiply
   5,669x = 10,406 × 10,406
4. Step 4: Simplify right side
   5,669x = 108,284,836
5. Step 5: Solve for x
   x = 108,284,836/5,669
6. Step 6: Final answer
   x = 19,101.22