Finding the Third Proportional to 11,638 and 25,340

Step by Step Solution

1. Step 1: Write the proportion equation
   11,638 : 25,340 = 25,340 : x
2. Step 2: Convert to fraction form
   11,638/25,340 = 25,340/x
3. Step 3: Cross multiply
   11,638x = 25,340 × 25,340
4. Step 4: Simplify right side
   11,638x = 642,115,600
5. Step 5: Solve for x
   x = 642,115,600/11,638
6. Step 6: Final answer
   x = 55,174.05