Finding the Third Proportional to 25,676 and 34,536

Step by Step Solution

1. Step 1: Write the proportion equation
   25,676 : 34,536 = 34,536 : x
2. Step 2: Convert to fraction form
   25,676/34,536 = 34,536/x
3. Step 3: Cross multiply
   25,676x = 34,536 × 34,536
4. Step 4: Simplify right side
   25,676x = 1,192,735,296
5. Step 5: Solve for x
   x = 1,192,735,296/25,676
6. Step 6: Final answer
   x = 46,453.31