Finding the Third Proportional to 13,096 and 28,267

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 28,267 = 28,267 : x
2. Step 2: Convert to fraction form
   13,096/28,267 = 28,267/x
3. Step 3: Cross multiply
   13,096x = 28,267 × 28,267
4. Step 4: Simplify right side
   13,096x = 799,023,289
5. Step 5: Solve for x
   x = 799,023,289/13,096
6. Step 6: Final answer
   x = 61,012.77