Finding the Third Proportional to 6,693.89 and 14,578.73

Step by Step Solution

1. Step 1: Write the proportion equation
   6,693.89 : 14,578.73 = 14,578.73 : x
2. Step 2: Convert to fraction form
   6,693.89/14,578.73 = 14,578.73/x
3. Step 3: Cross multiply
   6,693.89x = 14,578.73 × 14,578.73
4. Step 4: Simplify right side
   6,693.89x = 212,539,495.98
5. Step 5: Solve for x
   x = 212,539,495.98/6,693.89
6. Step 6: Final answer
   x = 31,751.27