Finding the Third Proportional to 412.17 and 1,009.55

Step by Step Solution

1. Step 1: Write the proportion equation
   412.17 : 1,009.55 = 1,009.55 : x
2. Step 2: Convert to fraction form
   412.17/1,009.55 = 1,009.55/x
3. Step 3: Cross multiply
   412.17x = 1,009.55 × 1,009.55
4. Step 4: Simplify right side
   412.17x = 1,019,184.89
5. Step 5: Solve for x
   x = 1,019,184.89/412.17
6. Step 6: Final answer
   x = 2,472.72