Finding the Third Proportional to 42,095 and 65,019

Step by Step Solution

1. Step 1: Write the proportion equation
   42,095 : 65,019 = 65,019 : x
2. Step 2: Convert to fraction form
   42,095/65,019 = 65,019/x
3. Step 3: Cross multiply
   42,095x = 65,019 × 65,019
4. Step 4: Simplify right side
   42,095x = 4,227,470,361
5. Step 5: Solve for x
   x = 4,227,470,361/42,095
6. Step 6: Final answer
   x = 100,426.90