Finding the Third Proportional to 11,576 and 23,972

Step by Step Solution

1. Step 1: Write the proportion equation
   11,576 : 23,972 = 23,972 : x
2. Step 2: Convert to fraction form
   11,576/23,972 = 23,972/x
3. Step 3: Cross multiply
   11,576x = 23,972 × 23,972
4. Step 4: Simplify right side
   11,576x = 574,656,784
5. Step 5: Solve for x
   x = 574,656,784/11,576
6. Step 6: Final answer
   x = 49,642.09