Finding the Third Proportional to 13,696 and 19,384

Step by Step Solution

1. Step 1: Write the proportion equation
   13,696 : 19,384 = 19,384 : x
2. Step 2: Convert to fraction form
   13,696/19,384 = 19,384/x
3. Step 3: Cross multiply
   13,696x = 19,384 × 19,384
4. Step 4: Simplify right side
   13,696x = 375,739,456
5. Step 5: Solve for x
   x = 375,739,456/13,696
6. Step 6: Final answer
   x = 27,434.25