Finding the Third Proportional to 10,848 and 16,269

Step by Step Solution

1. Step 1: Write the proportion equation
   10,848 : 16,269 = 16,269 : x
2. Step 2: Convert to fraction form
   10,848/16,269 = 16,269/x
3. Step 3: Cross multiply
   10,848x = 16,269 × 16,269
4. Step 4: Simplify right side
   10,848x = 264,680,361
5. Step 5: Solve for x
   x = 264,680,361/10,848
6. Step 6: Final answer
   x = 24,399.00