Finding the Third Proportional to 10,896 and 19,520

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 19,520 = 19,520 : x
2. Step 2: Convert to fraction form
   10,896/19,520 = 19,520/x
3. Step 3: Cross multiply
   10,896x = 19,520 × 19,520
4. Step 4: Simplify right side
   10,896x = 381,030,400
5. Step 5: Solve for x
   x = 381,030,400/10,896
6. Step 6: Final answer
   x = 34,969.75