Finding the Third Proportional to 65,013 and 103,441

Step by Step Solution

1. Step 1: Write the proportion equation
   65,013 : 103,441 = 103,441 : x
2. Step 2: Convert to fraction form
   65,013/103,441 = 103,441/x
3. Step 3: Cross multiply
   65,013x = 103,441 × 103,441
4. Step 4: Simplify right side
   65,013x = 10,700,040,481
5. Step 5: Solve for x
   x = 10,700,040,481/65,013
6. Step 6: Final answer
   x = 164,583.09