Finding the Third Proportional to 13,834 and 19,488

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834 : 19,488 = 19,488 : x
2. Step 2: Convert to fraction form
   13,834/19,488 = 19,488/x
3. Step 3: Cross multiply
   13,834x = 19,488 × 19,488
4. Step 4: Simplify right side
   13,834x = 379,782,144
5. Step 5: Solve for x
   x = 379,782,144/13,834
6. Step 6: Final answer
   x = 27,452.81