Finding the Third Proportional to 27,142 and 38,742

Step by Step Solution

1. Step 1: Write the proportion equation
   27,142 : 38,742 = 38,742 : x
2. Step 2: Convert to fraction form
   27,142/38,742 = 38,742/x
3. Step 3: Cross multiply
   27,142x = 38,742 × 38,742
4. Step 4: Simplify right side
   27,142x = 1,500,942,564
5. Step 5: Solve for x
   x = 1,500,942,564/27,142
6. Step 6: Final answer
   x = 55,299.63