Finding the Third Proportional to 6,286.50 and 13,089.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,286.50 : 13,089.38 = 13,089.38 : x
2. Step 2: Convert to fraction form
   6,286.50/13,089.38 = 13,089.38/x
3. Step 3: Cross multiply
   6,286.50x = 13,089.38 × 13,089.38
4. Step 4: Simplify right side
   6,286.50x = 171,331,737.89
5. Step 5: Solve for x
   x = 171,331,737.89/6,286.50
6. Step 6: Final answer
   x = 27,253.92