Finding the Third Proportional to 37,749.38 and 82,140.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37,749.38 : 82,140.94 = 82,140.94 : x
2. Step 2: Convert to fraction form
   37,749.38/82,140.94 = 82,140.94/x
3. Step 3: Cross multiply
   37,749.38x = 82,140.94 × 82,140.94
4. Step 4: Simplify right side
   37,749.38x = 6,747,133,613.38
5. Step 5: Solve for x
   x = 6,747,133,613.38/37,749.38
6. Step 6: Final answer
   x = 178,734.98