Finding the Third Proportional to 4,535.37 and 9,685.83

Step by Step Solution

1. Step 1: Write the proportion equation
   4,535.37 : 9,685.83 = 9,685.83 : x
2. Step 2: Convert to fraction form
   4,535.37/9,685.83 = 9,685.83/x
3. Step 3: Cross multiply
   4,535.37x = 9,685.83 × 9,685.83
4. Step 4: Simplify right side
   4,535.37x = 93,815,266.47
5. Step 5: Solve for x
   x = 93,815,266.47/4,535.37
6. Step 6: Final answer
   x = 20,685.26