Finding the Third Proportional to 37,774 and 80,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,774 : 80,034.50 = 80,034.50 : x
2. Step 2: Convert to fraction form
   37,774/80,034.50 = 80,034.50/x
3. Step 3: Cross multiply
   37,774x = 80,034.50 × 80,034.50
4. Step 4: Simplify right side
   37,774x = 6,405,521,190.25
5. Step 5: Solve for x
   x = 6,405,521,190.25/37,774
6. Step 6: Final answer
   x = 169,574.87