Finding the Third Proportional to 8,109 and 12,584

Step by Step Solution

1. Step 1: Write the proportion equation
   8,109 : 12,584 = 12,584 : x
2. Step 2: Convert to fraction form
   8,109/12,584 = 12,584/x
3. Step 3: Cross multiply
   8,109x = 12,584 × 12,584
4. Step 4: Simplify right side
   8,109x = 158,357,056
5. Step 5: Solve for x
   x = 158,357,056/8,109
6. Step 6: Final answer
   x = 19,528.56