Finding the Third Proportional to 2,086.38 and 4,537.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.38 : 4,537.27 = 4,537.27 : x
2. Step 2: Convert to fraction form
   2,086.38/4,537.27 = 4,537.27/x
3. Step 3: Cross multiply
   2,086.38x = 4,537.27 × 4,537.27
4. Step 4: Simplify right side
   2,086.38x = 20,586,779.35
5. Step 5: Solve for x
   x = 20,586,779.35/2,086.38
6. Step 6: Final answer
   x = 9,867.21