Finding the Third Proportional to 25,096 and 54,326

Step by Step Solution

1. Step 1: Write the proportion equation
   25,096 : 54,326 = 54,326 : x
2. Step 2: Convert to fraction form
   25,096/54,326 = 54,326/x
3. Step 3: Cross multiply
   25,096x = 54,326 × 54,326
4. Step 4: Simplify right side
   25,096x = 2,951,314,276
5. Step 5: Solve for x
   x = 2,951,314,276/25,096
6. Step 6: Final answer
   x = 117,600.98