Finding the Third Proportional to 23,678 and 51,049

Step by Step Solution

1. Step 1: Write the proportion equation
   23,678 : 51,049 = 51,049 : x
2. Step 2: Convert to fraction form
   23,678/51,049 = 51,049/x
3. Step 3: Cross multiply
   23,678x = 51,049 × 51,049
4. Step 4: Simplify right side
   23,678x = 2,606,000,401
5. Step 5: Solve for x
   x = 2,606,000,401/23,678
6. Step 6: Final answer
   x = 110,059.99