Finding the Third Proportional to 6,178.69 and 13,329.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.69 : 13,329.38 = 13,329.38 : x
2. Step 2: Convert to fraction form
   6,178.69/13,329.38 = 13,329.38/x
3. Step 3: Cross multiply
   6,178.69x = 13,329.38 × 13,329.38
4. Step 4: Simplify right side
   6,178.69x = 177,672,237.89
5. Step 5: Solve for x
   x = 177,672,237.89/6,178.69
6. Step 6: Final answer
   x = 28,755.66