Finding the Third Proportional to 17,534 and 37,741

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 37,741 = 37,741 : x
2. Step 2: Convert to fraction form
   17,534/37,741 = 37,741/x
3. Step 3: Cross multiply
   17,534x = 37,741 × 37,741
4. Step 4: Simplify right side
   17,534x = 1,424,383,081
5. Step 5: Solve for x
   x = 1,424,383,081/17,534
6. Step 6: Final answer
   x = 81,235.49