Finding the Third Proportional to 10,533.48 and 23,078.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,533.48 : 23,078.83 = 23,078.83 : x
2. Step 2: Convert to fraction form
   10,533.48/23,078.83 = 23,078.83/x
3. Step 3: Cross multiply
   10,533.48x = 23,078.83 × 23,078.83
4. Step 4: Simplify right side
   10,533.48x = 532,632,397.77
5. Step 5: Solve for x
   x = 532,632,397.77/10,533.48
6. Step 6: Final answer
   x = 50,565.66