Finding the Third Proportional to 5,790 and 12,084

Step by Step Solution

1. Step 1: Write the proportion equation
   5,790 : 12,084 = 12,084 : x
2. Step 2: Convert to fraction form
   5,790/12,084 = 12,084/x
3. Step 3: Cross multiply
   5,790x = 12,084 × 12,084
4. Step 4: Simplify right side
   5,790x = 146,023,056
5. Step 5: Solve for x
   x = 146,023,056/5,790
6. Step 6: Final answer
   x = 25,219.87