Finding the Third Proportional to 37,758.38 and 82,181.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,758.38 : 82,181.25 = 82,181.25 : x
2. Step 2: Convert to fraction form
   37,758.38/82,181.25 = 82,181.25/x
3. Step 3: Cross multiply
   37,758.38x = 82,181.25 × 82,181.25
4. Step 4: Simplify right side
   37,758.38x = 6,753,757,851.56
5. Step 5: Solve for x
   x = 6,753,757,851.56/37,758.38
6. Step 6: Final answer
   x = 178,867.81