Finding the Third Proportional to 11,496 and 25,968

Step by Step Solution

1. Step 1: Write the proportion equation
   11,496 : 25,968 = 25,968 : x
2. Step 2: Convert to fraction form
   11,496/25,968 = 25,968/x
3. Step 3: Cross multiply
   11,496x = 25,968 × 25,968
4. Step 4: Simplify right side
   11,496x = 674,337,024
5. Step 5: Solve for x
   x = 674,337,024/11,496
6. Step 6: Final answer
   x = 58,658.41