Finding the Third Proportional to 41,862 and 65,118

Step by Step Solution

1. Step 1: Write the proportion equation
   41,862 : 65,118 = 65,118 : x
2. Step 2: Convert to fraction form
   41,862/65,118 = 65,118/x
3. Step 3: Cross multiply
   41,862x = 65,118 × 65,118
4. Step 4: Simplify right side
   41,862x = 4,240,353,924
5. Step 5: Solve for x
   x = 4,240,353,924/41,862
6. Step 6: Final answer
   x = 101,293.63