Finding the Third Proportional to 9,720 and 17,370

Step by Step Solution

1. Step 1: Write the proportion equation
   9,720 : 17,370 = 17,370 : x
2. Step 2: Convert to fraction form
   9,720/17,370 = 17,370/x
3. Step 3: Cross multiply
   9,720x = 17,370 × 17,370
4. Step 4: Simplify right side
   9,720x = 301,716,900
5. Step 5: Solve for x
   x = 301,716,900/9,720
6. Step 6: Final answer
   x = 31,040.83