Finding the Third Proportional to 14,142 and 30,742

Step by Step Solution

1. Step 1: Write the proportion equation
   14,142 : 30,742 = 30,742 : x
2. Step 2: Convert to fraction form
   14,142/30,742 = 30,742/x
3. Step 3: Cross multiply
   14,142x = 30,742 × 30,742
4. Step 4: Simplify right side
   14,142x = 945,070,564
5. Step 5: Solve for x
   x = 945,070,564/14,142
6. Step 6: Final answer
   x = 66,827.22