Finding the Third Proportional to 5,848 and 13,436

Step by Step Solution

1. Step 1: Write the proportion equation
   5,848 : 13,436 = 13,436 : x
2. Step 2: Convert to fraction form
   5,848/13,436 = 13,436/x
3. Step 3: Cross multiply
   5,848x = 13,436 × 13,436
4. Step 4: Simplify right side
   5,848x = 180,526,096
5. Step 5: Solve for x
   x = 180,526,096/5,848
6. Step 6: Final answer
   x = 30,869.72