Finding the Third Proportional to 10,401 and 22,746

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401 : 22,746 = 22,746 : x
2. Step 2: Convert to fraction form
   10,401/22,746 = 22,746/x
3. Step 3: Cross multiply
   10,401x = 22,746 × 22,746
4. Step 4: Simplify right side
   10,401x = 517,380,516
5. Step 5: Solve for x
   x = 517,380,516/10,401
6. Step 6: Final answer
   x = 49,743.34