Finding the Third Proportional to 13,096 and 19,590

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 19,590 = 19,590 : x
2. Step 2: Convert to fraction form
   13,096/19,590 = 19,590/x
3. Step 3: Cross multiply
   13,096x = 19,590 × 19,590
4. Step 4: Simplify right side
   13,096x = 383,768,100
5. Step 5: Solve for x
   x = 383,768,100/13,096
6. Step 6: Final answer
   x = 29,304.22