Finding the Third Proportional to 11,200 and 18,442

Step by Step Solution

1. Step 1: Write the proportion equation
   11,200 : 18,442 = 18,442 : x
2. Step 2: Convert to fraction form
   11,200/18,442 = 18,442/x
3. Step 3: Cross multiply
   11,200x = 18,442 × 18,442
4. Step 4: Simplify right side
   11,200x = 340,107,364
5. Step 5: Solve for x
   x = 340,107,364/11,200
6. Step 6: Final answer
   x = 30,366.73