Finding the Third Proportional to 8,584 and 17,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,584 : 17,719.50 = 17,719.50 : x
2. Step 2: Convert to fraction form
   8,584/17,719.50 = 17,719.50/x
3. Step 3: Cross multiply
   8,584x = 17,719.50 × 17,719.50
4. Step 4: Simplify right side
   8,584x = 313,980,680.25
5. Step 5: Solve for x
   x = 313,980,680.25/8,584
6. Step 6: Final answer
   x = 36,577.43