Finding the Third Proportional to 27,038 and 42,018

Step by Step Solution

1. Step 1: Write the proportion equation
   27,038 : 42,018 = 42,018 : x
2. Step 2: Convert to fraction form
   27,038/42,018 = 42,018/x
3. Step 3: Cross multiply
   27,038x = 42,018 × 42,018
4. Step 4: Simplify right side
   27,038x = 1,765,512,324
5. Step 5: Solve for x
   x = 1,765,512,324/27,038
6. Step 6: Final answer
   x = 65,297.45