Finding the Third Proportional to 10,205 and 20,842

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205 : 20,842 = 20,842 : x
2. Step 2: Convert to fraction form
   10,205/20,842 = 20,842/x
3. Step 3: Cross multiply
   10,205x = 20,842 × 20,842
4. Step 4: Simplify right side
   10,205x = 434,388,964
5. Step 5: Solve for x
   x = 434,388,964/10,205
6. Step 6: Final answer
   x = 42,566.29