Finding the Third Proportional to 5,855.06 and 9,145.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,855.06 : 9,145.69 = 9,145.69 : x
2. Step 2: Convert to fraction form
   5,855.06/9,145.69 = 9,145.69/x
3. Step 3: Cross multiply
   5,855.06x = 9,145.69 × 9,145.69
4. Step 4: Simplify right side
   5,855.06x = 83,643,599.85
5. Step 5: Solve for x
   x = 83,643,599.85/5,855.06
6. Step 6: Final answer
   x = 14,285.69