Finding the Third Proportional to 17,514 and 38,005

Step by Step Solution

1. Step 1: Write the proportion equation
   17,514 : 38,005 = 38,005 : x
2. Step 2: Convert to fraction form
   17,514/38,005 = 38,005/x
3. Step 3: Cross multiply
   17,514x = 38,005 × 38,005
4. Step 4: Simplify right side
   17,514x = 1,444,380,025
5. Step 5: Solve for x
   x = 1,444,380,025/17,514
6. Step 6: Final answer
   x = 82,470.03