Finding the Third Proportional to 10,800 and 23,098

Step by Step Solution

1. Step 1: Write the proportion equation
   10,800 : 23,098 = 23,098 : x
2. Step 2: Convert to fraction form
   10,800/23,098 = 23,098/x
3. Step 3: Cross multiply
   10,800x = 23,098 × 23,098
4. Step 4: Simplify right side
   10,800x = 533,517,604
5. Step 5: Solve for x
   x = 533,517,604/10,800
6. Step 6: Final answer
   x = 49,399.78