Finding the Third Proportional to 11,648 and 25,368

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648 : 25,368 = 25,368 : x
2. Step 2: Convert to fraction form
   11,648/25,368 = 25,368/x
3. Step 3: Cross multiply
   11,648x = 25,368 × 25,368
4. Step 4: Simplify right side
   11,648x = 643,535,424
5. Step 5: Solve for x
   x = 643,535,424/11,648
6. Step 6: Final answer
   x = 55,248.58