Finding the Third Proportional to 37,779 and 56,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,779 : 56,674.50 = 56,674.50 : x
2. Step 2: Convert to fraction form
   37,779/56,674.50 = 56,674.50/x
3. Step 3: Cross multiply
   37,779x = 56,674.50 × 56,674.50
4. Step 4: Simplify right side
   37,779x = 3,211,998,950.25
5. Step 5: Solve for x
   x = 3,211,998,950.25/37,779
6. Step 6: Final answer
   x = 85,020.75