Finding the Third Proportional to 12,049 and 25,634

Step by Step Solution

1. Step 1: Write the proportion equation
   12,049 : 25,634 = 25,634 : x
2. Step 2: Convert to fraction form
   12,049/25,634 = 25,634/x
3. Step 3: Cross multiply
   12,049x = 25,634 × 25,634
4. Step 4: Simplify right side
   12,049x = 657,101,956
5. Step 5: Solve for x
   x = 657,101,956/12,049
6. Step 6: Final answer
   x = 54,535.81