Finding the Third Proportional to 9,186.54 and 13,768.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.54 : 13,768.42 = 13,768.42 : x
2. Step 2: Convert to fraction form
   9,186.54/13,768.42 = 13,768.42/x
3. Step 3: Cross multiply
   9,186.54x = 13,768.42 × 13,768.42
4. Step 4: Simplify right side
   9,186.54x = 189,569,333.36
5. Step 5: Solve for x
   x = 189,569,333.36/9,186.54
6. Step 6: Final answer
   x = 20,635.56