Finding the Third Proportional to 42,170 and 65,811

Step by Step Solution

1. Step 1: Write the proportion equation
   42,170 : 65,811 = 65,811 : x
2. Step 2: Convert to fraction form
   42,170/65,811 = 65,811/x
3. Step 3: Cross multiply
   42,170x = 65,811 × 65,811
4. Step 4: Simplify right side
   42,170x = 4,331,087,721
5. Step 5: Solve for x
   x = 4,331,087,721/42,170
6. Step 6: Final answer
   x = 102,705.42