Finding the Third Proportional to 8,562.38 and 9,777.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,562.38 : 9,777.38 = 9,777.38 : x
2. Step 2: Convert to fraction form
   8,562.38/9,777.38 = 9,777.38/x
3. Step 3: Cross multiply
   8,562.38x = 9,777.38 × 9,777.38
4. Step 4: Simplify right side
   8,562.38x = 95,597,061.89
5. Step 5: Solve for x
   x = 95,597,061.89/8,562.38
6. Step 6: Final answer
   x = 11,164.78