Finding the Third Proportional to 41,370 and 65,538

Step by Step Solution

1. Step 1: Write the proportion equation
   41,370 : 65,538 = 65,538 : x
2. Step 2: Convert to fraction form
   41,370/65,538 = 65,538/x
3. Step 3: Cross multiply
   41,370x = 65,538 × 65,538
4. Step 4: Simplify right side
   41,370x = 4,295,229,444
5. Step 5: Solve for x
   x = 4,295,229,444/41,370
6. Step 6: Final answer
   x = 103,824.74