Finding the Third Proportional to 11,100 and 18,494

Step by Step Solution

1. Step 1: Write the proportion equation
   11,100 : 18,494 = 18,494 : x
2. Step 2: Convert to fraction form
   11,100/18,494 = 18,494/x
3. Step 3: Cross multiply
   11,100x = 18,494 × 18,494
4. Step 4: Simplify right side
   11,100x = 342,028,036
5. Step 5: Solve for x
   x = 342,028,036/11,100
6. Step 6: Final answer
   x = 30,813.34