Finding the Third Proportional to 2,145.66 and 4,554.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.66 : 4,554.56 = 4,554.56 : x
2. Step 2: Convert to fraction form
   2,145.66/4,554.56 = 4,554.56/x
3. Step 3: Cross multiply
   2,145.66x = 4,554.56 × 4,554.56
4. Step 4: Simplify right side
   2,145.66x = 20,744,039.57
5. Step 5: Solve for x
   x = 20,744,039.57/2,145.66
6. Step 6: Final answer
   x = 9,667.92