Finding the Third Proportional to 37,096.13 and 82,197.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,096.13 : 82,197.75 = 82,197.75 : x
2. Step 2: Convert to fraction form
   37,096.13/82,197.75 = 82,197.75/x
3. Step 3: Cross multiply
   37,096.13x = 82,197.75 × 82,197.75
4. Step 4: Simplify right side
   37,096.13x = 6,756,470,105.06
5. Step 5: Solve for x
   x = 6,756,470,105.06/37,096.13
6. Step 6: Final answer
   x = 182,134.12