Finding the Third Proportional to 11,592 and 25,308

Step by Step Solution

1. Step 1: Write the proportion equation
   11,592 : 25,308 = 25,308 : x
2. Step 2: Convert to fraction form
   11,592/25,308 = 25,308/x
3. Step 3: Cross multiply
   11,592x = 25,308 × 25,308
4. Step 4: Simplify right side
   11,592x = 640,494,864
5. Step 5: Solve for x
   x = 640,494,864/11,592
6. Step 6: Final answer
   x = 55,253.18