Finding the Third Proportional to 13,946.25 and 19,506.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,946.25 : 19,506.38 = 19,506.38 : x
2. Step 2: Convert to fraction form
   13,946.25/19,506.38 = 19,506.38/x
3. Step 3: Cross multiply
   13,946.25x = 19,506.38 × 19,506.38
4. Step 4: Simplify right side
   13,946.25x = 380,498,665.64
5. Step 5: Solve for x
   x = 380,498,665.64/13,946.25
6. Step 6: Final answer
   x = 27,283.22