Finding the Third Proportional to 9,830 and 17,372

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830 : 17,372 = 17,372 : x
2. Step 2: Convert to fraction form
   9,830/17,372 = 17,372/x
3. Step 3: Cross multiply
   9,830x = 17,372 × 17,372
4. Step 4: Simplify right side
   9,830x = 301,786,384
5. Step 5: Solve for x
   x = 301,786,384/9,830
6. Step 6: Final answer
   x = 30,700.55