Finding the Third Proportional to 11,644 and 25,460

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644 : 25,460 = 25,460 : x
2. Step 2: Convert to fraction form
   11,644/25,460 = 25,460/x
3. Step 3: Cross multiply
   11,644x = 25,460 × 25,460
4. Step 4: Simplify right side
   11,644x = 648,211,600
5. Step 5: Solve for x
   x = 648,211,600/11,644
6. Step 6: Final answer
   x = 55,669.15