Finding the Third Proportional to 11,757 and 25,428

Step by Step Solution

1. Step 1: Write the proportion equation
   11,757 : 25,428 = 25,428 : x
2. Step 2: Convert to fraction form
   11,757/25,428 = 25,428/x
3. Step 3: Cross multiply
   11,757x = 25,428 × 25,428
4. Step 4: Simplify right side
   11,757x = 646,583,184
5. Step 5: Solve for x
   x = 646,583,184/11,757
6. Step 6: Final answer
   x = 54,995.59