Finding the Third Proportional to 14,142 and 30,470

Step by Step Solution

1. Step 1: Write the proportion equation
   14,142 : 30,470 = 30,470 : x
2. Step 2: Convert to fraction form
   14,142/30,470 = 30,470/x
3. Step 3: Cross multiply
   14,142x = 30,470 × 30,470
4. Step 4: Simplify right side
   14,142x = 928,420,900
5. Step 5: Solve for x
   x = 928,420,900/14,142
6. Step 6: Final answer
   x = 65,649.90