Finding the Third Proportional to 11,578 and 25,326

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578 : 25,326 = 25,326 : x
2. Step 2: Convert to fraction form
   11,578/25,326 = 25,326/x
3. Step 3: Cross multiply
   11,578x = 25,326 × 25,326
4. Step 4: Simplify right side
   11,578x = 641,406,276
5. Step 5: Solve for x
   x = 641,406,276/11,578
6. Step 6: Final answer
   x = 55,398.71