Finding the Third Proportional to 1,008.28 and 2,171.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.28 : 2,171.16 = 2,171.16 : x
2. Step 2: Convert to fraction form
   1,008.28/2,171.16 = 2,171.16/x
3. Step 3: Cross multiply
   1,008.28x = 2,171.16 × 2,171.16
4. Step 4: Simplify right side
   1,008.28x = 4,713,919.46
5. Step 5: Solve for x
   x = 4,713,919.46/1,008.28
6. Step 6: Final answer
   x = 4,675.20