Finding the Third Proportional to 6,084 and 10,984

Step by Step Solution

1. Step 1: Write the proportion equation
   6,084 : 10,984 = 10,984 : x
2. Step 2: Convert to fraction form
   6,084/10,984 = 10,984/x
3. Step 3: Cross multiply
   6,084x = 10,984 × 10,984
4. Step 4: Simplify right side
   6,084x = 120,648,256
5. Step 5: Solve for x
   x = 120,648,256/6,084
6. Step 6: Final answer
   x = 19,830.42