Finding the Third Proportional to 2,153.50 and 4,561.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,153.50 : 4,561.38 = 4,561.38 : x
2. Step 2: Convert to fraction form
   2,153.50/4,561.38 = 4,561.38/x
3. Step 3: Cross multiply
   2,153.50x = 4,561.38 × 4,561.38
4. Step 4: Simplify right side
   2,153.50x = 20,806,141.89
5. Step 5: Solve for x
   x = 20,806,141.89/2,153.50
6. Step 6: Final answer
   x = 9,661.55