Finding the Third Proportional to 17,582 and 41,504

Step by Step Solution

1. Step 1: Write the proportion equation
   17,582 : 41,504 = 41,504 : x
2. Step 2: Convert to fraction form
   17,582/41,504 = 41,504/x
3. Step 3: Cross multiply
   17,582x = 41,504 × 41,504
4. Step 4: Simplify right side
   17,582x = 1,722,582,016
5. Step 5: Solve for x
   x = 1,722,582,016/17,582
6. Step 6: Final answer
   x = 97,974.18