Finding the Third Proportional to 10,894 and 23,408

Step by Step Solution

1. Step 1: Write the proportion equation
   10,894 : 23,408 = 23,408 : x
2. Step 2: Convert to fraction form
   10,894/23,408 = 23,408/x
3. Step 3: Cross multiply
   10,894x = 23,408 × 23,408
4. Step 4: Simplify right side
   10,894x = 547,934,464
5. Step 5: Solve for x
   x = 547,934,464/10,894
6. Step 6: Final answer
   x = 50,296.90