Finding the Third Proportional to 5,389 and 8,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,389 : 8,103.50 = 8,103.50 : x
2. Step 2: Convert to fraction form
   5,389/8,103.50 = 8,103.50/x
3. Step 3: Cross multiply
   5,389x = 8,103.50 × 8,103.50
4. Step 4: Simplify right side
   5,389x = 65,666,712.25
5. Step 5: Solve for x
   x = 65,666,712.25/5,389
6. Step 6: Final answer
   x = 12,185.32