Finding the Third Proportional to 11,742 and 25,442

Step by Step Solution

1. Step 1: Write the proportion equation
   11,742 : 25,442 = 25,442 : x
2. Step 2: Convert to fraction form
   11,742/25,442 = 25,442/x
3. Step 3: Cross multiply
   11,742x = 25,442 × 25,442
4. Step 4: Simplify right side
   11,742x = 647,295,364
5. Step 5: Solve for x
   x = 647,295,364/11,742
6. Step 6: Final answer
   x = 55,126.50