Finding the Third Proportional to 17,584 and 31,271

Step by Step Solution

1. Step 1: Write the proportion equation
   17,584 : 31,271 = 31,271 : x
2. Step 2: Convert to fraction form
   17,584/31,271 = 31,271/x
3. Step 3: Cross multiply
   17,584x = 31,271 × 31,271
4. Step 4: Simplify right side
   17,584x = 977,875,441
5. Step 5: Solve for x
   x = 977,875,441/17,584
6. Step 6: Final answer
   x = 55,611.66