Finding the Third Proportional to 4,633.45 and 9,684.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,633.45 : 9,684.56 = 9,684.56 : x
2. Step 2: Convert to fraction form
   4,633.45/9,684.56 = 9,684.56/x
3. Step 3: Cross multiply
   4,633.45x = 9,684.56 × 9,684.56
4. Step 4: Simplify right side
   4,633.45x = 93,790,750.82
5. Step 5: Solve for x
   x = 93,790,750.82/4,633.45
6. Step 6: Final answer
   x = 20,242.08