Finding the Third Proportional to 10,269 and 22,392

Step by Step Solution

1. Step 1: Write the proportion equation
   10,269 : 22,392 = 22,392 : x
2. Step 2: Convert to fraction form
   10,269/22,392 = 22,392/x
3. Step 3: Cross multiply
   10,269x = 22,392 × 22,392
4. Step 4: Simplify right side
   10,269x = 501,401,664
5. Step 5: Solve for x
   x = 501,401,664/10,269
6. Step 6: Final answer
   x = 48,826.73