Finding the Third Proportional to 17,792 and 38,008

Step by Step Solution

1. Step 1: Write the proportion equation
   17,792 : 38,008 = 38,008 : x
2. Step 2: Convert to fraction form
   17,792/38,008 = 38,008/x
3. Step 3: Cross multiply
   17,792x = 38,008 × 38,008
4. Step 4: Simplify right side
   17,792x = 1,444,608,064
5. Step 5: Solve for x
   x = 1,444,608,064/17,792
6. Step 6: Final answer
   x = 81,194.25