Finding the Third Proportional to 41,901 and 65,174

Step by Step Solution

1. Step 1: Write the proportion equation
   41,901 : 65,174 = 65,174 : x
2. Step 2: Convert to fraction form
   41,901/65,174 = 65,174/x
3. Step 3: Cross multiply
   41,901x = 65,174 × 65,174
4. Step 4: Simplify right side
   41,901x = 4,247,650,276
5. Step 5: Solve for x
   x = 4,247,650,276/41,901
6. Step 6: Final answer
   x = 101,373.48