Finding the Third Proportional to 25,923 and 37,469

Step by Step Solution

1. Step 1: Write the proportion equation
   25,923 : 37,469 = 37,469 : x
2. Step 2: Convert to fraction form
   25,923/37,469 = 37,469/x
3. Step 3: Cross multiply
   25,923x = 37,469 × 37,469
4. Step 4: Simplify right side
   25,923x = 1,403,925,961
5. Step 5: Solve for x
   x = 1,403,925,961/25,923
6. Step 6: Final answer
   x = 54,157.54