Finding the Third Proportional to 8,020.50 and 17,129.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,020.50 : 17,129.50 = 17,129.50 : x
2. Step 2: Convert to fraction form
   8,020.50/17,129.50 = 17,129.50/x
3. Step 3: Cross multiply
   8,020.50x = 17,129.50 × 17,129.50
4. Step 4: Simplify right side
   8,020.50x = 293,419,770.25
5. Step 5: Solve for x
   x = 293,419,770.25/8,020.50
6. Step 6: Final answer
   x = 36,583.73