Finding the Third Proportional to 6,426.56 and 9,822.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426.56 : 9,822.38 = 9,822.38 : x
2. Step 2: Convert to fraction form
   6,426.56/9,822.38 = 9,822.38/x
3. Step 3: Cross multiply
   6,426.56x = 9,822.38 × 9,822.38
4. Step 4: Simplify right side
   6,426.56x = 96,479,050.64
5. Step 5: Solve for x
   x = 96,479,050.64/6,426.56
6. Step 6: Final answer
   x = 15,012.54