Finding the Third Proportional to 2,209.50 and 4,834.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,209.50 : 4,834.13 = 4,834.13 : x
2. Step 2: Convert to fraction form
   2,209.50/4,834.13 = 4,834.13/x
3. Step 3: Cross multiply
   2,209.50x = 4,834.13 × 4,834.13
4. Step 4: Simplify right side
   2,209.50x = 23,368,764.52
5. Step 5: Solve for x
   x = 23,368,764.52/2,209.50
6. Step 6: Final answer
   x = 10,576.49