Finding the Third Proportional to 17,256 and 37,671

Step by Step Solution

1. Step 1: Write the proportion equation
   17,256 : 37,671 = 37,671 : x
2. Step 2: Convert to fraction form
   17,256/37,671 = 37,671/x
3. Step 3: Cross multiply
   17,256x = 37,671 × 37,671
4. Step 4: Simplify right side
   17,256x = 1,419,104,241
5. Step 5: Solve for x
   x = 1,419,104,241/17,256
6. Step 6: Final answer
   x = 82,238.31