Finding the Third Proportional to 20,262 and 41,856

Step by Step Solution

1. Step 1: Write the proportion equation
   20,262 : 41,856 = 41,856 : x
2. Step 2: Convert to fraction form
   20,262/41,856 = 41,856/x
3. Step 3: Cross multiply
   20,262x = 41,856 × 41,856
4. Step 4: Simplify right side
   20,262x = 1,751,924,736
5. Step 5: Solve for x
   x = 1,751,924,736/20,262
6. Step 6: Final answer
   x = 86,463.56