Finding the Third Proportional to 2,153.81 and 4,563.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,153.81 : 4,563.94 = 4,563.94 : x
2. Step 2: Convert to fraction form
   2,153.81/4,563.94 = 4,563.94/x
3. Step 3: Cross multiply
   2,153.81x = 4,563.94 × 4,563.94
4. Step 4: Simplify right side
   2,153.81x = 20,829,525.50
5. Step 5: Solve for x
   x = 20,829,525.50/2,153.81
6. Step 6: Final answer
   x = 9,671.00