Finding the Third Proportional to 37,844 and 56,766

Step by Step Solution

1. Step 1: Write the proportion equation
   37,844 : 56,766 = 56,766 : x
2. Step 2: Convert to fraction form
   37,844/56,766 = 56,766/x
3. Step 3: Cross multiply
   37,844x = 56,766 × 56,766
4. Step 4: Simplify right side
   37,844x = 3,222,378,756
5. Step 5: Solve for x
   x = 3,222,378,756/37,844
6. Step 6: Final answer
   x = 85,149