Finding the Third Proportional to 4,561.38 and 9,834.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,561.38 : 9,834.88 = 9,834.88 : x
2. Step 2: Convert to fraction form
   4,561.38/9,834.88 = 9,834.88/x
3. Step 3: Cross multiply
   4,561.38x = 9,834.88 × 9,834.88
4. Step 4: Simplify right side
   4,561.38x = 96,724,766.27
5. Step 5: Solve for x
   x = 96,724,766.27/4,561.38
6. Step 6: Final answer
   x = 21,205.18