Finding the Third Proportional to 7,780.50 and 17,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.50 : 17,020.50 = 17,020.50 : x
2. Step 2: Convert to fraction form
   7,780.50/17,020.50 = 17,020.50/x
3. Step 3: Cross multiply
   7,780.50x = 17,020.50 × 17,020.50
4. Step 4: Simplify right side
   7,780.50x = 289,697,420.25
5. Step 5: Solve for x
   x = 289,697,420.25/7,780.50
6. Step 6: Final answer
   x = 37,233.78