Finding the Third Proportional to 1,007.27 and 2,219.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.27 : 2,219.57 = 2,219.57 : x
2. Step 2: Convert to fraction form
   1,007.27/2,219.57 = 2,219.57/x
3. Step 3: Cross multiply
   1,007.27x = 2,219.57 × 2,219.57
4. Step 4: Simplify right side
   1,007.27x = 4,926,491.29
5. Step 5: Solve for x
   x = 4,926,491.29/1,007.27
6. Step 6: Final answer
   x = 4,890.94