Finding the Third Proportional to 7,830 and 17,180

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 17,180 = 17,180 : x
2. Step 2: Convert to fraction form
   7,830/17,180 = 17,180/x
3. Step 3: Cross multiply
   7,830x = 17,180 × 17,180
4. Step 4: Simplify right side
   7,830x = 295,152,400
5. Step 5: Solve for x
   x = 295,152,400/7,830
6. Step 6: Final answer
   x = 37,695.07