Finding the Third Proportional to 1,671.89 and 3,646.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,671.89 : 3,646.27 = 3,646.27 : x
2. Step 2: Convert to fraction form
   1,671.89/3,646.27 = 3,646.27/x
3. Step 3: Cross multiply
   1,671.89x = 3,646.27 × 3,646.27
4. Step 4: Simplify right side
   1,671.89x = 13,295,253.01
5. Step 5: Solve for x
   x = 13,295,253.01/1,671.89
6. Step 6: Final answer
   x = 7,952.23