Finding the Third Proportional to 5,102 and 10,682

Step by Step Solution

1. Step 1: Write the proportion equation
   5,102 : 10,682 = 10,682 : x
2. Step 2: Convert to fraction form
   5,102/10,682 = 10,682/x
3. Step 3: Cross multiply
   5,102x = 10,682 × 10,682
4. Step 4: Simplify right side
   5,102x = 114,105,124
5. Step 5: Solve for x
   x = 114,105,124/5,102
6. Step 6: Final answer
   x = 22,364.78