Finding the Third Proportional to 4,648.14 and 9,543.79

Step by Step Solution

1. Step 1: Write the proportion equation
   4,648.14 : 9,543.79 = 9,543.79 : x
2. Step 2: Convert to fraction form
   4,648.14/9,543.79 = 9,543.79/x
3. Step 3: Cross multiply
   4,648.14x = 9,543.79 × 9,543.79
4. Step 4: Simplify right side
   4,648.14x = 91,083,891.03
5. Step 5: Solve for x
   x = 91,083,891.03/4,648.14
6. Step 6: Final answer
   x = 19,595.77