Finding the Third Proportional to 42,025 and 65,067

Step by Step Solution

1. Step 1: Write the proportion equation
   42,025 : 65,067 = 65,067 : x
2. Step 2: Convert to fraction form
   42,025/65,067 = 65,067/x
3. Step 3: Cross multiply
   42,025x = 65,067 × 65,067
4. Step 4: Simplify right side
   42,025x = 4,233,714,489
5. Step 5: Solve for x
   x = 4,233,714,489/42,025
6. Step 6: Final answer
   x = 100,742.76