Finding the Third Proportional to 27,186 and 42,016

Step by Step Solution

1. Step 1: Write the proportion equation
   27,186 : 42,016 = 42,016 : x
2. Step 2: Convert to fraction form
   27,186/42,016 = 42,016/x
3. Step 3: Cross multiply
   27,186x = 42,016 × 42,016
4. Step 4: Simplify right side
   27,186x = 1,765,344,256
5. Step 5: Solve for x
   x = 1,765,344,256/27,186
6. Step 6: Final answer
   x = 64,935.79