Finding the Third Proportional to 5,200 and 10,705

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 10,705 = 10,705 : x
2. Step 2: Convert to fraction form
   5,200/10,705 = 10,705/x
3. Step 3: Cross multiply
   5,200x = 10,705 × 10,705
4. Step 4: Simplify right side
   5,200x = 114,597,025
5. Step 5: Solve for x
   x = 114,597,025/5,200
6. Step 6: Final answer
   x = 22,037.89