Finding the Third Proportional to 10,365.05 and 15,633.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365.05 : 15,633.42 = 15,633.42 : x
2. Step 2: Convert to fraction form
   10,365.05/15,633.42 = 15,633.42/x
3. Step 3: Cross multiply
   10,365.05x = 15,633.42 × 15,633.42
4. Step 4: Simplify right side
   10,365.05x = 244,403,879.52
5. Step 5: Solve for x
   x = 244,403,879.52/10,365.05
6. Step 6: Final answer
   x = 23,579.62