Finding the Third Proportional to 37,806.38 and 82,530.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,806.38 : 82,530.38 = 82,530.38 : x
2. Step 2: Convert to fraction form
   37,806.38/82,530.38 = 82,530.38/x
3. Step 3: Cross multiply
   37,806.38x = 82,530.38 × 82,530.38
4. Step 4: Simplify right side
   37,806.38x = 6,811,262,797.64
5. Step 5: Solve for x
   x = 6,811,262,797.64/37,806.38
6. Step 6: Final answer
   x = 180,161.75