Finding the Third Proportional to 6,454.69 and 13,684.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,454.69 : 13,684.89 = 13,684.89 : x
2. Step 2: Convert to fraction form
   6,454.69/13,684.89 = 13,684.89/x
3. Step 3: Cross multiply
   6,454.69x = 13,684.89 × 13,684.89
4. Step 4: Simplify right side
   6,454.69x = 187,276,124.51
5. Step 5: Solve for x
   x = 187,276,124.51/6,454.69
6. Step 6: Final answer
   x = 29,013.97