Finding the Third Proportional to 11,385 and 24,469

Step by Step Solution

1. Step 1: Write the proportion equation
   11,385 : 24,469 = 24,469 : x
2. Step 2: Convert to fraction form
   11,385/24,469 = 24,469/x
3. Step 3: Cross multiply
   11,385x = 24,469 × 24,469
4. Step 4: Simplify right side
   11,385x = 598,731,961
5. Step 5: Solve for x
   x = 598,731,961/11,385
6. Step 6: Final answer
   x = 52,589.54