Finding the Third Proportional to 17,682 and 38,072

Step by Step Solution

1. Step 1: Write the proportion equation
   17,682 : 38,072 = 38,072 : x
2. Step 2: Convert to fraction form
   17,682/38,072 = 38,072/x
3. Step 3: Cross multiply
   17,682x = 38,072 × 38,072
4. Step 4: Simplify right side
   17,682x = 1,449,477,184
5. Step 5: Solve for x
   x = 1,449,477,184/17,682
6. Step 6: Final answer
   x = 81,974.73