Finding the Third Proportional to 37,491 and 80,814

Step by Step Solution

1. Step 1: Write the proportion equation
   37,491 : 80,814 = 80,814 : x
2. Step 2: Convert to fraction form
   37,491/80,814 = 80,814/x
3. Step 3: Cross multiply
   37,491x = 80,814 × 80,814
4. Step 4: Simplify right side
   37,491x = 6,530,902,596
5. Step 5: Solve for x
   x = 6,530,902,596/37,491
6. Step 6: Final answer
   x = 174,199.21