Finding the Third Proportional to 20,181.38 and 27,537.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,181.38 : 27,537.75 = 27,537.75 : x
2. Step 2: Convert to fraction form
   20,181.38/27,537.75 = 27,537.75/x
3. Step 3: Cross multiply
   20,181.38x = 27,537.75 × 27,537.75
4. Step 4: Simplify right side
   20,181.38x = 758,327,675.06
5. Step 5: Solve for x
   x = 758,327,675.06/20,181.38
6. Step 6: Final answer
   x = 37,575.62