Finding the Third Proportional to 12,096.84 and 13,771.27

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096.84 : 13,771.27 = 13,771.27 : x
2. Step 2: Convert to fraction form
   12,096.84/13,771.27 = 13,771.27/x
3. Step 3: Cross multiply
   12,096.84x = 13,771.27 × 13,771.27
4. Step 4: Simplify right side
   12,096.84x = 189,647,756.91
5. Step 5: Solve for x
   x = 189,647,756.91/12,096.84
6. Step 6: Final answer
   x = 15,677.46