Finding the Third Proportional to 17,771 and 38,002

Step by Step Solution

1. Step 1: Write the proportion equation
   17,771 : 38,002 = 38,002 : x
2. Step 2: Convert to fraction form
   17,771/38,002 = 38,002/x
3. Step 3: Cross multiply
   17,771x = 38,002 × 38,002
4. Step 4: Simplify right side
   17,771x = 1,444,152,004
5. Step 5: Solve for x
   x = 1,444,152,004/17,771
6. Step 6: Final answer
   x = 81,264.53