Finding the Third Proportional to 37,089 and 80,145

Step by Step Solution

1. Step 1: Write the proportion equation
   37,089 : 80,145 = 80,145 : x
2. Step 2: Convert to fraction form
   37,089/80,145 = 80,145/x
3. Step 3: Cross multiply
   37,089x = 80,145 × 80,145
4. Step 4: Simplify right side
   37,089x = 6,423,221,025
5. Step 5: Solve for x
   x = 6,423,221,025/37,089
6. Step 6: Final answer
   x = 173,183.99