Finding the Third Proportional to 1,008.56 and 2,174.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.56 : 2,174.63 = 2,174.63 : x
2. Step 2: Convert to fraction form
   1,008.56/2,174.63 = 2,174.63/x
3. Step 3: Cross multiply
   1,008.56x = 2,174.63 × 2,174.63
4. Step 4: Simplify right side
   1,008.56x = 4,728,993.89
5. Step 5: Solve for x
   x = 4,728,993.89/1,008.56
6. Step 6: Final answer
   x = 4,688.85