Finding the Third Proportional to 1,008.46 and 2,171.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.46 : 2,171.43 = 2,171.43 : x
2. Step 2: Convert to fraction form
   1,008.46/2,171.43 = 2,171.43/x
3. Step 3: Cross multiply
   1,008.46x = 2,171.43 × 2,171.43
4. Step 4: Simplify right side
   1,008.46x = 4,715,089.92
5. Step 5: Solve for x
   x = 4,715,089.92/1,008.46
6. Step 6: Final answer
   x = 4,675.55