Finding the Third Proportional to 8,144 and 17,584

Step by Step Solution

1. Step 1: Write the proportion equation
   8,144 : 17,584 = 17,584 : x
2. Step 2: Convert to fraction form
   8,144/17,584 = 17,584/x
3. Step 3: Cross multiply
   8,144x = 17,584 × 17,584
4. Step 4: Simplify right side
   8,144x = 309,197,056
5. Step 5: Solve for x
   x = 309,197,056/8,144
6. Step 6: Final answer
   x = 37,966.24