Finding the Third Proportional to 7,830 and 17,010

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 17,010 = 17,010 : x
2. Step 2: Convert to fraction form
   7,830/17,010 = 17,010/x
3. Step 3: Cross multiply
   7,830x = 17,010 × 17,010
4. Step 4: Simplify right side
   7,830x = 289,340,100
5. Step 5: Solve for x
   x = 289,340,100/7,830
6. Step 6: Final answer
   x = 36,952.76