Finding the Third Proportional to 13,096 and 19,596

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 19,596 = 19,596 : x
2. Step 2: Convert to fraction form
   13,096/19,596 = 19,596/x
3. Step 3: Cross multiply
   13,096x = 19,596 × 19,596
4. Step 4: Simplify right side
   13,096x = 384,003,216
5. Step 5: Solve for x
   x = 384,003,216/13,096
6. Step 6: Final answer
   x = 29,322.18