Finding the Third Proportional to 17,171 and 37,623

Step by Step Solution

1. Step 1: Write the proportion equation
   17,171 : 37,623 = 37,623 : x
2. Step 2: Convert to fraction form
   17,171/37,623 = 37,623/x
3. Step 3: Cross multiply
   17,171x = 37,623 × 37,623
4. Step 4: Simplify right side
   17,171x = 1,415,490,129
5. Step 5: Solve for x
   x = 1,415,490,129/17,171
6. Step 6: Final answer
   x = 82,434.93