Finding the Third Proportional to 25,096 and 37,268

Step by Step Solution

1. Step 1: Write the proportion equation
   25,096 : 37,268 = 37,268 : x
2. Step 2: Convert to fraction form
   25,096/37,268 = 37,268/x
3. Step 3: Cross multiply
   25,096x = 37,268 × 37,268
4. Step 4: Simplify right side
   25,096x = 1,388,903,824
5. Step 5: Solve for x
   x = 1,388,903,824/25,096
6. Step 6: Final answer
   x = 55,343.63