Finding the Third Proportional to 11,005 and 24,097

Step by Step Solution

1. Step 1: Write the proportion equation
   11,005 : 24,097 = 24,097 : x
2. Step 2: Convert to fraction form
   11,005/24,097 = 24,097/x
3. Step 3: Cross multiply
   11,005x = 24,097 × 24,097
4. Step 4: Simplify right side
   11,005x = 580,665,409
5. Step 5: Solve for x
   x = 580,665,409/11,005
6. Step 6: Final answer
   x = 52,763.78