Finding the Third Proportional to 27,857 and 42,022

Step by Step Solution

1. Step 1: Write the proportion equation
   27,857 : 42,022 = 42,022 : x
2. Step 2: Convert to fraction form
   27,857/42,022 = 42,022/x
3. Step 3: Cross multiply
   27,857x = 42,022 × 42,022
4. Step 4: Simplify right side
   27,857x = 1,765,848,484
5. Step 5: Solve for x
   x = 1,765,848,484/27,857
6. Step 6: Final answer
   x = 63,389.76