Finding the Third Proportional to 8,109 and 17,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,109 : 17,599.50 = 17,599.50 : x
2. Step 2: Convert to fraction form
   8,109/17,599.50 = 17,599.50/x
3. Step 3: Cross multiply
   8,109x = 17,599.50 × 17,599.50
4. Step 4: Simplify right side
   8,109x = 309,742,400.25
5. Step 5: Solve for x
   x = 309,742,400.25/8,109
6. Step 6: Final answer
   x = 38,197.36