Finding the Third Proportional to 18,826 and 41,538

Step by Step Solution

1. Step 1: Write the proportion equation
   18,826 : 41,538 = 41,538 : x
2. Step 2: Convert to fraction form
   18,826/41,538 = 41,538/x
3. Step 3: Cross multiply
   18,826x = 41,538 × 41,538
4. Step 4: Simplify right side
   18,826x = 1,725,405,444
5. Step 5: Solve for x
   x = 1,725,405,444/18,826
6. Step 6: Final answer
   x = 91,650.14