Finding the Third Proportional to 27,142 and 42,021

Step by Step Solution

1. Step 1: Write the proportion equation
   27,142 : 42,021 = 42,021 : x
2. Step 2: Convert to fraction form
   27,142/42,021 = 42,021/x
3. Step 3: Cross multiply
   27,142x = 42,021 × 42,021
4. Step 4: Simplify right side
   27,142x = 1,765,764,441
5. Step 5: Solve for x
   x = 1,765,764,441/27,142
6. Step 6: Final answer
   x = 65,056.53