Finding the Third Proportional to 25,727 and 34,144

Step by Step Solution

1. Step 1: Write the proportion equation
   25,727 : 34,144 = 34,144 : x
2. Step 2: Convert to fraction form
   25,727/34,144 = 34,144/x
3. Step 3: Cross multiply
   25,727x = 34,144 × 34,144
4. Step 4: Simplify right side
   25,727x = 1,165,812,736
5. Step 5: Solve for x
   x = 1,165,812,736/25,727
6. Step 6: Final answer
   x = 45,314.76