Finding the Third Proportional to 11,152 and 18,424

Step by Step Solution

1. Step 1: Write the proportion equation
   11,152 : 18,424 = 18,424 : x
2. Step 2: Convert to fraction form
   11,152/18,424 = 18,424/x
3. Step 3: Cross multiply
   11,152x = 18,424 × 18,424
4. Step 4: Simplify right side
   11,152x = 339,443,776
5. Step 5: Solve for x
   x = 339,443,776/11,152
6. Step 6: Final answer
   x = 30,437.93