Finding the Third Proportional to 11,556 and 25,372

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 25,372 = 25,372 : x
2. Step 2: Convert to fraction form
   11,556/25,372 = 25,372/x
3. Step 3: Cross multiply
   11,556x = 25,372 × 25,372
4. Step 4: Simplify right side
   11,556x = 643,738,384
5. Step 5: Solve for x
   x = 643,738,384/11,556
6. Step 6: Final answer
   x = 55,705.99