Finding the Third Proportional to 5,105.81 and 5,464.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.81 : 5,464.69 = 5,464.69 : x
2. Step 2: Convert to fraction form
   5,105.81/5,464.69 = 5,464.69/x
3. Step 3: Cross multiply
   5,105.81x = 5,464.69 × 5,464.69
4. Step 4: Simplify right side
   5,105.81x = 29,862,809.47
5. Step 5: Solve for x
   x = 29,862,809.47/5,105.81
6. Step 6: Final answer
   x = 5,848.79