Finding the Third Proportional to 5,775.25 and 8,415.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,775.25 : 8,415.38 = 8,415.38 : x
2. Step 2: Convert to fraction form
   5,775.25/8,415.38 = 8,415.38/x
3. Step 3: Cross multiply
   5,775.25x = 8,415.38 × 8,415.38
4. Step 4: Simplify right side
   5,775.25x = 70,818,536.39
5. Step 5: Solve for x
   x = 70,818,536.39/5,775.25
6. Step 6: Final answer
   x = 12,262.42