Finding the Third Proportional to 11,262.94 and 17,677.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,262.94 : 17,677.69 = 17,677.69 : x
2. Step 2: Convert to fraction form
   11,262.94/17,677.69 = 17,677.69/x
3. Step 3: Cross multiply
   11,262.94x = 17,677.69 × 17,677.69
4. Step 4: Simplify right side
   11,262.94x = 312,500,635.35
5. Step 5: Solve for x
   x = 312,500,635.35/11,262.94
6. Step 6: Final answer
   x = 27,745.93