Finding the Third Proportional to 20,116 and 41,361

Step by Step Solution

1. Step 1: Write the proportion equation
   20,116 : 41,361 = 41,361 : x
2. Step 2: Convert to fraction form
   20,116/41,361 = 41,361/x
3. Step 3: Cross multiply
   20,116x = 41,361 × 41,361
4. Step 4: Simplify right side
   20,116x = 1,710,732,321
5. Step 5: Solve for x
   x = 1,710,732,321/20,116
6. Step 6: Final answer
   x = 85,043.36