Finding the Third Proportional to 17,584 and 41,509

Step by Step Solution

1. Step 1: Write the proportion equation
   17,584 : 41,509 = 41,509 : x
2. Step 2: Convert to fraction form
   17,584/41,509 = 41,509/x
3. Step 3: Cross multiply
   17,584x = 41,509 × 41,509
4. Step 4: Simplify right side
   17,584x = 1,722,997,081
5. Step 5: Solve for x
   x = 1,722,997,081/17,584
6. Step 6: Final answer
   x = 97,986.64