Finding the Third Proportional to 23,256 and 25,416

Step by Step Solution

1. Step 1: Write the proportion equation
   23,256 : 25,416 = 25,416 : x
2. Step 2: Convert to fraction form
   23,256/25,416 = 25,416/x
3. Step 3: Cross multiply
   23,256x = 25,416 × 25,416
4. Step 4: Simplify right side
   23,256x = 645,973,056
5. Step 5: Solve for x
   x = 645,973,056/23,256
6. Step 6: Final answer
   x = 27,776.62