Finding the Third Proportional to 25,677 and 40,743

Step by Step Solution

1. Step 1: Write the proportion equation
   25,677 : 40,743 = 40,743 : x
2. Step 2: Convert to fraction form
   25,677/40,743 = 40,743/x
3. Step 3: Cross multiply
   25,677x = 40,743 × 40,743
4. Step 4: Simplify right side
   25,677x = 1,659,992,049
5. Step 5: Solve for x
   x = 1,659,992,049/25,677
6. Step 6: Final answer
   x = 64,648.99