Finding the Third Proportional to 11,760 and 25,098

Step by Step Solution

1. Step 1: Write the proportion equation
   11,760 : 25,098 = 25,098 : x
2. Step 2: Convert to fraction form
   11,760/25,098 = 25,098/x
3. Step 3: Cross multiply
   11,760x = 25,098 × 25,098
4. Step 4: Simplify right side
   11,760x = 629,909,604
5. Step 5: Solve for x
   x = 629,909,604/11,760
6. Step 6: Final answer
   x = 53,563.74