Finding the Third Proportional to 10,207 and 20,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,207 : 20,846 = 20,846 : x
2. Step 2: Convert to fraction form
   10,207/20,846 = 20,846/x
3. Step 3: Cross multiply
   10,207x = 20,846 × 20,846
4. Step 4: Simplify right side
   10,207x = 434,555,716
5. Step 5: Solve for x
   x = 434,555,716/10,207
6. Step 6: Final answer
   x = 42,574.28