Finding the Third Proportional to 11,746 and 25,339

Step by Step Solution

1. Step 1: Write the proportion equation
   11,746 : 25,339 = 25,339 : x
2. Step 2: Convert to fraction form
   11,746/25,339 = 25,339/x
3. Step 3: Cross multiply
   11,746x = 25,339 × 25,339
4. Step 4: Simplify right side
   11,746x = 642,064,921
5. Step 5: Solve for x
   x = 642,064,921/11,746
6. Step 6: Final answer
   x = 54,662.43