Finding the Third Proportional to 824.06 and 1,945.27

Step by Step Solution

1. Step 1: Write the proportion equation
   824.06 : 1,945.27 = 1,945.27 : x
2. Step 2: Convert to fraction form
   824.06/1,945.27 = 1,945.27/x
3. Step 3: Cross multiply
   824.06x = 1,945.27 × 1,945.27
4. Step 4: Simplify right side
   824.06x = 3,784,058.35
5. Step 5: Solve for x
   x = 3,784,058.35/824.06
6. Step 6: Final answer
   x = 4,591.96