Finding the Third Proportional to 5,976 and 13,084

Step by Step Solution

1. Step 1: Write the proportion equation
   5,976 : 13,084 = 13,084 : x
2. Step 2: Convert to fraction form
   5,976/13,084 = 13,084/x
3. Step 3: Cross multiply
   5,976x = 13,084 × 13,084
4. Step 4: Simplify right side
   5,976x = 171,191,056
5. Step 5: Solve for x
   x = 171,191,056/5,976
6. Step 6: Final answer
   x = 28,646.43