Finding the Third Proportional to 11,649 and 25,458

Step by Step Solution

1. Step 1: Write the proportion equation
   11,649 : 25,458 = 25,458 : x
2. Step 2: Convert to fraction form
   11,649/25,458 = 25,458/x
3. Step 3: Cross multiply
   11,649x = 25,458 × 25,458
4. Step 4: Simplify right side
   11,649x = 648,109,764
5. Step 5: Solve for x
   x = 648,109,764/11,649
6. Step 6: Final answer
   x = 55,636.52