Finding the Third Proportional to 37,747 and 82,958

Step by Step Solution

1. Step 1: Write the proportion equation
   37,747 : 82,958 = 82,958 : x
2. Step 2: Convert to fraction form
   37,747/82,958 = 82,958/x
3. Step 3: Cross multiply
   37,747x = 82,958 × 82,958
4. Step 4: Simplify right side
   37,747x = 6,882,029,764
5. Step 5: Solve for x
   x = 6,882,029,764/37,747
6. Step 6: Final answer
   x = 182,319.91