Finding the Third Proportional to 5,978 and 13,084

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978 : 13,084 = 13,084 : x
2. Step 2: Convert to fraction form
   5,978/13,084 = 13,084/x
3. Step 3: Cross multiply
   5,978x = 13,084 × 13,084
4. Step 4: Simplify right side
   5,978x = 171,191,056
5. Step 5: Solve for x
   x = 171,191,056/5,978
6. Step 6: Final answer
   x = 28,636.84