Finding the Third Proportional to 7,966 and 17,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,966 : 17,329.50 = 17,329.50 : x
2. Step 2: Convert to fraction form
   7,966/17,329.50 = 17,329.50/x
3. Step 3: Cross multiply
   7,966x = 17,329.50 × 17,329.50
4. Step 4: Simplify right side
   7,966x = 300,311,570.25
5. Step 5: Solve for x
   x = 300,311,570.25/7,966
6. Step 6: Final answer
   x = 37,699.17