Finding the Third Proportional to 6,841.69 and 14,738.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,841.69 : 14,738.77 = 14,738.77 : x
2. Step 2: Convert to fraction form
   6,841.69/14,738.77 = 14,738.77/x
3. Step 3: Cross multiply
   6,841.69x = 14,738.77 × 14,738.77
4. Step 4: Simplify right side
   6,841.69x = 217,231,212.15
5. Step 5: Solve for x
   x = 217,231,212.15/6,841.69
6. Step 6: Final answer
   x = 31,751.12