Finding the Third Proportional to 5,648 and 13,436

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648 : 13,436 = 13,436 : x
2. Step 2: Convert to fraction form
   5,648/13,436 = 13,436/x
3. Step 3: Cross multiply
   5,648x = 13,436 × 13,436
4. Step 4: Simplify right side
   5,648x = 180,526,096
5. Step 5: Solve for x
   x = 180,526,096/5,648
6. Step 6: Final answer
   x = 31,962.84