Finding the Third Proportional to 17,582 and 31,267

Step by Step Solution

1. Step 1: Write the proportion equation
   17,582 : 31,267 = 31,267 : x
2. Step 2: Convert to fraction form
   17,582/31,267 = 31,267/x
3. Step 3: Cross multiply
   17,582x = 31,267 × 31,267
4. Step 4: Simplify right side
   17,582x = 977,625,289
5. Step 5: Solve for x
   x = 977,625,289/17,582
6. Step 6: Final answer
   x = 55,603.76