Finding the Third Proportional to 7,947.38 and 12,581.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,947.38 : 12,581.63 = 12,581.63 : x
2. Step 2: Convert to fraction form
   7,947.38/12,581.63 = 12,581.63/x
3. Step 3: Cross multiply
   7,947.38x = 12,581.63 × 12,581.63
4. Step 4: Simplify right side
   7,947.38x = 158,297,287.64
5. Step 5: Solve for x
   x = 158,297,287.64/7,947.38
6. Step 6: Final answer
   x = 19,918.19