Finding the Third Proportional to 17,257 and 37,743

Step by Step Solution

1. Step 1: Write the proportion equation
   17,257 : 37,743 = 37,743 : x
2. Step 2: Convert to fraction form
   17,257/37,743 = 37,743/x
3. Step 3: Cross multiply
   17,257x = 37,743 × 37,743
4. Step 4: Simplify right side
   17,257x = 1,424,534,049
5. Step 5: Solve for x
   x = 1,424,534,049/17,257
6. Step 6: Final answer
   x = 82,548.19