Finding the Third Proportional to 10,894 and 23,406

Step by Step Solution

1. Step 1: Write the proportion equation
   10,894 : 23,406 = 23,406 : x
2. Step 2: Convert to fraction form
   10,894/23,406 = 23,406/x
3. Step 3: Cross multiply
   10,894x = 23,406 × 23,406
4. Step 4: Simplify right side
   10,894x = 547,840,836
5. Step 5: Solve for x
   x = 547,840,836/10,894
6. Step 6: Final answer
   x = 50,288.31