Finding the Third Proportional to 9,780.75 and 12,828.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.75 : 12,828.38 = 12,828.38 : x
2. Step 2: Convert to fraction form
   9,780.75/12,828.38 = 12,828.38/x
3. Step 3: Cross multiply
   9,780.75x = 12,828.38 × 12,828.38
4. Step 4: Simplify right side
   9,780.75x = 164,567,205.14
5. Step 5: Solve for x
   x = 164,567,205.14/9,780.75
6. Step 6: Final answer
   x = 16,825.62