Finding the Third Proportional to 17,369 and 38,006

Step by Step Solution

1. Step 1: Write the proportion equation
   17,369 : 38,006 = 38,006 : x
2. Step 2: Convert to fraction form
   17,369/38,006 = 38,006/x
3. Step 3: Cross multiply
   17,369x = 38,006 × 38,006
4. Step 4: Simplify right side
   17,369x = 1,444,456,036
5. Step 5: Solve for x
   x = 1,444,456,036/17,369
6. Step 6: Final answer
   x = 83,162.88