Finding the Third Proportional to 5,682 and 10,434

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682 : 10,434 = 10,434 : x
2. Step 2: Convert to fraction form
   5,682/10,434 = 10,434/x
3. Step 3: Cross multiply
   5,682x = 10,434 × 10,434
4. Step 4: Simplify right side
   5,682x = 108,868,356
5. Step 5: Solve for x
   x = 108,868,356/5,682
6. Step 6: Final answer
   x = 19,160.22