Finding the Third Proportional to 5,878.41 and 9,105.89

Step by Step Solution

1. Step 1: Write the proportion equation
   5,878.41 : 9,105.89 = 9,105.89 : x
2. Step 2: Convert to fraction form
   5,878.41/9,105.89 = 9,105.89/x
3. Step 3: Cross multiply
   5,878.41x = 9,105.89 × 9,105.89
4. Step 4: Simplify right side
   5,878.41x = 82,917,244.07
5. Step 5: Solve for x
   x = 82,917,244.07/5,878.41
6. Step 6: Final answer
   x = 14,105.40