Finding the Third Proportional to 5,752.69 and 12,323.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,752.69 : 12,323.81 = 12,323.81 : x
2. Step 2: Convert to fraction form
   5,752.69/12,323.81 = 12,323.81/x
3. Step 3: Cross multiply
   5,752.69x = 12,323.81 × 12,323.81
4. Step 4: Simplify right side
   5,752.69x = 151,876,354.54
5. Step 5: Solve for x
   x = 151,876,354.54/5,752.69
6. Step 6: Final answer
   x = 26,400.94