Finding the Third Proportional to 42,106 and 65,619

Step by Step Solution

1. Step 1: Write the proportion equation
   42,106 : 65,619 = 65,619 : x
2. Step 2: Convert to fraction form
   42,106/65,619 = 65,619/x
3. Step 3: Cross multiply
   42,106x = 65,619 × 65,619
4. Step 4: Simplify right side
   42,106x = 4,305,853,161
5. Step 5: Solve for x
   x = 4,305,853,161/42,106
6. Step 6: Final answer
   x = 102,262.22