Finding the Third Proportional to 11,760 and 25,620

Step by Step Solution

1. Step 1: Write the proportion equation
   11,760 : 25,620 = 25,620 : x
2. Step 2: Convert to fraction form
   11,760/25,620 = 25,620/x
3. Step 3: Cross multiply
   11,760x = 25,620 × 25,620
4. Step 4: Simplify right side
   11,760x = 656,384,400
5. Step 5: Solve for x
   x = 656,384,400/11,760
6. Step 6: Final answer
   x = 55,815