Finding the Third Proportional to 2,014.50 and 4,412.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.50 : 4,412.75 = 4,412.75 : x
2. Step 2: Convert to fraction form
   2,014.50/4,412.75 = 4,412.75/x
3. Step 3: Cross multiply
   2,014.50x = 4,412.75 × 4,412.75
4. Step 4: Simplify right side
   2,014.50x = 19,472,362.56
5. Step 5: Solve for x
   x = 19,472,362.56/2,014.50
6. Step 6: Final answer
   x = 9,666.10