Finding the Third Proportional to 25,438 and 53,145

Step by Step Solution

1. Step 1: Write the proportion equation
   25,438 : 53,145 = 53,145 : x
2. Step 2: Convert to fraction form
   25,438/53,145 = 53,145/x
3. Step 3: Cross multiply
   25,438x = 53,145 × 53,145
4. Step 4: Simplify right side
   25,438x = 2,824,391,025
5. Step 5: Solve for x
   x = 2,824,391,025/25,438
6. Step 6: Final answer
   x = 111,030.39