Finding the Third Proportional to 13,770 and 19,494

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 19,494 = 19,494 : x
2. Step 2: Convert to fraction form
   13,770/19,494 = 19,494/x
3. Step 3: Cross multiply
   13,770x = 19,494 × 19,494
4. Step 4: Simplify right side
   13,770x = 380,016,036
5. Step 5: Solve for x
   x = 380,016,036/13,770
6. Step 6: Final answer
   x = 27,597.39