Finding the Third Proportional to 25,264 and 38,665

Step by Step Solution

1. Step 1: Write the proportion equation
   25,264 : 38,665 = 38,665 : x
2. Step 2: Convert to fraction form
   25,264/38,665 = 38,665/x
3. Step 3: Cross multiply
   25,264x = 38,665 × 38,665
4. Step 4: Simplify right side
   25,264x = 1,494,982,225
5. Step 5: Solve for x
   x = 1,494,982,225/25,264
6. Step 6: Final answer
   x = 59,174.41