Finding the Third Proportional to 13,696 and 19,520

Step by Step Solution

1. Step 1: Write the proportion equation
   13,696 : 19,520 = 19,520 : x
2. Step 2: Convert to fraction form
   13,696/19,520 = 19,520/x
3. Step 3: Cross multiply
   13,696x = 19,520 × 19,520
4. Step 4: Simplify right side
   13,696x = 381,030,400
5. Step 5: Solve for x
   x = 381,030,400/13,696
6. Step 6: Final answer
   x = 27,820.56