Finding the Third Proportional to 6,005.39 and 8,834.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,005.39 : 8,834.06 = 8,834.06 : x
2. Step 2: Convert to fraction form
   6,005.39/8,834.06 = 8,834.06/x
3. Step 3: Cross multiply
   6,005.39x = 8,834.06 × 8,834.06
4. Step 4: Simplify right side
   6,005.39x = 78,040,660.25
5. Step 5: Solve for x
   x = 78,040,660.25/6,005.39
6. Step 6: Final answer
   x = 12,995.10