Finding the Third Proportional to 17,141 and 37,561

Step by Step Solution

1. Step 1: Write the proportion equation
   17,141 : 37,561 = 37,561 : x
2. Step 2: Convert to fraction form
   17,141/37,561 = 37,561/x
3. Step 3: Cross multiply
   17,141x = 37,561 × 37,561
4. Step 4: Simplify right side
   17,141x = 1,410,828,721
5. Step 5: Solve for x
   x = 1,410,828,721/17,141
6. Step 6: Final answer
   x = 82,307.26