Finding the Third Proportional to 11,384 and 24,172

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384 : 24,172 = 24,172 : x
2. Step 2: Convert to fraction form
   11,384/24,172 = 24,172/x
3. Step 3: Cross multiply
   11,384x = 24,172 × 24,172
4. Step 4: Simplify right side
   11,384x = 584,285,584
5. Step 5: Solve for x
   x = 584,285,584/11,384
6. Step 6: Final answer
   x = 51,325.16