Finding the Third Proportional to 7,949.39 and 12,584.74

Step by Step Solution

1. Step 1: Write the proportion equation
   7,949.39 : 12,584.74 = 12,584.74 : x
2. Step 2: Convert to fraction form
   7,949.39/12,584.74 = 12,584.74/x
3. Step 3: Cross multiply
   7,949.39x = 12,584.74 × 12,584.74
4. Step 4: Simplify right side
   7,949.39x = 158,375,735.93
5. Step 5: Solve for x
   x = 158,375,735.93/7,949.39
6. Step 6: Final answer
   x = 19,923.00