Finding the Third Proportional to 1,014.71 and 2,225.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.71 : 2,225.92 = 2,225.92 : x
2. Step 2: Convert to fraction form
   1,014.71/2,225.92 = 2,225.92/x
3. Step 3: Cross multiply
   1,014.71x = 2,225.92 × 2,225.92
4. Step 4: Simplify right side
   1,014.71x = 4,954,710.80
5. Step 5: Solve for x
   x = 4,954,710.80/1,014.71
6. Step 6: Final answer
   x = 4,882.86