Finding the Third Proportional to 14,106 and 31,005

Step by Step Solution

1. Step 1: Write the proportion equation
   14,106 : 31,005 = 31,005 : x
2. Step 2: Convert to fraction form
   14,106/31,005 = 31,005/x
3. Step 3: Cross multiply
   14,106x = 31,005 × 31,005
4. Step 4: Simplify right side
   14,106x = 961,310,025
5. Step 5: Solve for x
   x = 961,310,025/14,106
6. Step 6: Final answer
   x = 68,149.02