Finding the Third Proportional to 25,238 and 53,713

Step by Step Solution

1. Step 1: Write the proportion equation
   25,238 : 53,713 = 53,713 : x
2. Step 2: Convert to fraction form
   25,238/53,713 = 53,713/x
3. Step 3: Cross multiply
   25,238x = 53,713 × 53,713
4. Step 4: Simplify right side
   25,238x = 2,885,086,369
5. Step 5: Solve for x
   x = 2,885,086,369/25,238
6. Step 6: Final answer
   x = 114,315.17