Finding the Third Proportional to 11,082 and 24,174

Step by Step Solution

1. Step 1: Write the proportion equation
   11,082 : 24,174 = 24,174 : x
2. Step 2: Convert to fraction form
   11,082/24,174 = 24,174/x
3. Step 3: Cross multiply
   11,082x = 24,174 × 24,174
4. Step 4: Simplify right side
   11,082x = 584,382,276
5. Step 5: Solve for x
   x = 584,382,276/11,082
6. Step 6: Final answer
   x = 52,732.56