Finding the Third Proportional to 6,185.11 and 13,497.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185.11 : 13,497.89 = 13,497.89 : x
2. Step 2: Convert to fraction form
   6,185.11/13,497.89 = 13,497.89/x
3. Step 3: Cross multiply
   6,185.11x = 13,497.89 × 13,497.89
4. Step 4: Simplify right side
   6,185.11x = 182,193,051.32
5. Step 5: Solve for x
   x = 182,193,051.32/6,185.11
6. Step 6: Final answer
   x = 29,456.72