Finding the Third Proportional to 37,923 and 82,758

Step by Step Solution

1. Step 1: Write the proportion equation
   37,923 : 82,758 = 82,758 : x
2. Step 2: Convert to fraction form
   37,923/82,758 = 82,758/x
3. Step 3: Cross multiply
   37,923x = 82,758 × 82,758
4. Step 4: Simplify right side
   37,923x = 6,848,886,564
5. Step 5: Solve for x
   x = 6,848,886,564/37,923
6. Step 6: Final answer
   x = 180,599.81