Finding the Third Proportional to 6,510.38 and 9,821.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510.38 : 9,821.25 = 9,821.25 : x
2. Step 2: Convert to fraction form
   6,510.38/9,821.25 = 9,821.25/x
3. Step 3: Cross multiply
   6,510.38x = 9,821.25 × 9,821.25
4. Step 4: Simplify right side
   6,510.38x = 96,456,951.56
5. Step 5: Solve for x
   x = 96,456,951.56/6,510.38
6. Step 6: Final answer
   x = 14,815.88